hours spent studying 1 1.5 2.5 3 3.5 4 4.5 5 5.5 6 midterm grades 63 66 69 72 75 78 81 84 90 96 step 3 of 3 : calculate the correlation coefficient, r. round your answer to three decimal places.

Answers

Answer 1

The correlation coefficient, rounded to three decimal places, is approximately 0.992.

What is correlation coefficient?

A statistical measure known as the correlation coefficient expresses the strength and direction of the linear link between two variables. It has a range of -1 to +1, with a negative value signifying a negative (inverse) relationship, a positive value a positive relationship, and a zero a no relationship. A perfect positive relationship is shown by a correlation value of 1, whereas a perfect negative (inverse) relationship is indicated by a correlation coefficient of -1.

The regression coefficient is given by the formula:

r = [nΣ(xy) - ΣxΣy] / √([nΣx² - (Σx)²][nΣy² - (Σy)²])

Now, for the given data we have:

n = 10

Σx = 31

Σy = 675

Σx² = 124.25

Σy² = 60743

Σ(xy) = 3475.5

Substituting the value we have:

r = [10(3475.5) - (31)(675)] / √([10(124.25) - (31)²][10(60743) - (675)²])

r ≈ 0.992

Hence, the correlation coefficient, rounded to three decimal places, is approximately 0.992.

Learn more about correlation coefficient here:

https://brainly.com/question/27226153

#SPJ1


Related Questions

5. Rebecca wanted to make bracelets. She bought 9 boxes of beads. Each box contained 40 beads. While carrying the boxes home, 23 beads fell out. How many beads does she have left to make the bracelets?​

Answers

Answer:

337 beads left to make bracelets

Step-by-step explanation:

9×40-23=337

Answer:

its 337

Step-by-step explanation:

40x9=360 -23 =337

Multiply 13. 5 x 12. 1 using a regrouping strategy. Explain your answer and each step that you take

Answers

The product of 13.5 and 12.1 using a regrouping strategy is 163.35.

To begin with, we can start by breaking down each number into its place value components, which are the ones, tenths, and hundredths places. We can represent 13.5 as 13 + 0.5 and 12.1 as 12 + 0.1.

So, we can rewrite 13.5 as (10 + 3) + 0.5 and 12.1 as (10 + 2) + 0.1. Now, we can use the distributive property of multiplication to multiply 13.5 by 12.1 as follows:

13.5 x 12.1 = (10 + 3 + 0.5) x (10 + 2 + 0.1)

= 10 x 10 + 10 x 2 + 10 x 0.1

+ 3 x 10 + 3 x 2 + 3 x 0.1

+ 0.5 x 10 + 0.5 x 2 + 0.5 x 0.1

Next, we can simplify each of these products by multiplying the numbers in the ones and tenths places separately, and then adding the results. For example, 10 x 10 = 100, 10 x 2 = 20, 10 x 0.1 = 1, 3 x 10 = 30, and so on.

So, continuing from the previous step, we get:

13.5 x 12.1 = 100 + 20 + 1

+ 30 + 6 + 0.3

+ 5 + 1 + 0.05

Finally, we can add up all these products to get the final answer:

13.5 x 12.1 = 163.35

To know more about multiplication here

https://brainly.com/question/5992872

#SPJ4

Write 35% as a fraction in lowest term

Answers

Answer:7/20

Step-by-step explanation:

35% [tex]= 0.35 = \frac{35}{100} = \frac{35/5}{100/5} = \frac{7}{20}[/tex]

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)

Answers

Part A: A reasonable domain to plot the growth function would be from d = 0 to d = 11.

Part B: The y-intercept of the graph of the function f(d) is 7

Part C: The average rate of change of the function f(d) from d = 4 to d = 11 is approximately 0.64 mm/day.

Domine and y-intercept of a function:

The domain of a function represents the set of input values for which the function is defined and can produce a meaningful output.

The y-intercept of a function represents the value of the function when the input is equal to zero.

The average rate of change of a function from x = a to x = b is given by the slope of the secant line passing through the points (a, f(a)) and (b, f(b)).

Here we have

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

=> f(d) = 7(1.06)^d

Since it is given that the radius of the algae was approximately 13.29 mm when the biologist concluded her study, we can set f(d) = 13.29  

=> 13.29 = [tex]7(1.06)^{d}[/tex]

=> ln(13.29/7) = d ln(1.06)

=> d = ln(13.29/7)/ln(1.06) ≈ 11  

Therefore, A reasonable domain to plot the growth function would be from d = 0 to d = 11.

Part B: The y-intercept of the graph of the function f(d) represents the value of the function when d = 0.

Substituting d = 0 into the given equation, we get:

f(0) = 7(1.06)⁰ = 7

Therefore, The y-intercept of the graph of the function f(d) is 7

Part C: The average rate of change of the function f(d) from d = 4 to d = 11 is given by the slope of the secant line passing through the points (4, f(4)) and (11, f(11)). Using the given equation, we can evaluate f(4) and f(11):

f(4) = 7(1.06)⁴ ≈ 8.84

f(11) = 7(1.06)¹¹ ≈ 13.29

The slope of the second line passing through these two points is:

Slope = (f(11) - f(4))/(11 - 4) = [ 13.29 - 8.84]/7 = 0.64

Therefore,

The average rate of change of the function f(d) from d = 4 to d = 11 is approximately 0.64 mm/day.

Learn more about Functions at

https://brainly.com/question/24839787

#SPJ1

At a bankruptcy sale, stereo sets were advertised at 60% off. Sales tax is 7%. How
much would be paid in all for a stereo regularly selling for $68.95? 27-58

Answers

The required payment is $46•1965.

what is tax?

A tax is a mandatory fee or financial charge that a government imposes on a person or a business in order to raise money for public projects like building the greatest infrastructure and services. Different public expenditure programmes are then funded with the funds that have been raised.

According to the established law, it will attract harsh repercussions if one does not pay taxes or refuses to contribute.

what are the types of tax?

There are two main categories of taxes: direct taxes and indirect taxes. Both taxes are implemented in different ways. Some of them, like the dreaded income tax, corporate tax, wealth tax, etc., you pay directly, while others, like sales tax, service tax, value added tax, etc., you pay indirectly.

according to question,

Advertising percentage is 60%

Sale tax percentage is 7%

Selling price is $68•95

The amount after those payments=required

First you add the payment but they are in percentage

60%+7%=67%

So,

67% is the amount of payment

67×$68•95/100

$4619•65/100

=$46•1965

To know more about Tax visit:

https://brainly.com/question/16423331

#SPJ1

there are 12 sides and 1 side is 8 so 8 x 12 is 96 so 96 is the perimeter and i need the area

Answers

Therefore, the area of the regular dodecagon with a side length of 8 units is approximately 1,843.21 square units.

What is area?

In mathematics, area refers to the measure of the amount of space inside a two-dimensional shape or region. It is a measure of the size of a flat surface, and is typically expressed in square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). The area of a shape can be calculated using various formulas, depending on the type of shape. The concept of area is used in many areas of science and engineering, including physics, geometry, and architecture. It is particularly important in fields such as construction and landscaping, where the amount of material needed to cover a given area is often a key factor in planning and budgeting.

Here,

To find the area of a regular dodecagon, you can use the formula:

Area = (3 * √3 / 2) * s² * n

where s is the length of each side and n is the number of sides.

Substituting s = 8 and n = 12, we get:

Area = (3 * √3 / 2) * 8² * 12

Area = 3 * √3 * 64 * 12

Area = 1,843.21 square units (rounded to two decimal places)

To know more area,

https://brainly.com/question/30106292

#SPJ1

i need the answer loololololololol

Answers

The standard format of the polynomial given in the image is given as follows:

0.5x^5 - x^4 - 5x² - 6.

How to obtain the standard format of the polynomial?

The standard format of a polynomial is to write it in descending order of the exponents of the variable, with each term separated by a plus or minus sign. For example, the standard format of a polynomial with one variable (x) is:

a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0

The exponents of the polynomial in this problem are given as follows:

5, 0, 4, 2.

Hence the descending order is:

5, 4, 2, 0.

And the standard format of the polynomial is of:

0.5x^5 - x^4 - 5x² - 6.

More can be learned about polynomials at https://brainly.com/question/4142886

#SPJ1

The principal of a school claims that 30 % of grade 3 pupils stay in the playground after their classes. A survey among 500 grade 3 pupils revealed that 150 of them stay in the playground after their classes. Use 99% confidence to conduct a test of proportions.

No unrelated answers or links or you will be reported. Thanks​

Answers

The margin of error for the school's claim  is 0.055 or approximately 5.5%.

To find the margin of error, we need to use the formula:

Margin of error = Critical value x Standard error

For a sample size of 500, the critical value can be found by:

critical value = 1.96

Next, we need to find the standard error. The formula for the standard error is:

standard error = sqrt(p_hat * (1 - p_hat) / n)

In this case, the sample proportion is 150/500 = 0.3.

standard error = sqrt(0.3 * (1 - 0.3) / 500) = 0.028

Finally, we can calculate the margin of error:

Margin of error = 1.96 x 0.028 = 0.055

To know more about margin of error, here

brainly.com/question/29101642

#SPJ4

--The complete Question is, What is the margin of error for the school's claim that 30% of grade 3 pupils stay in the playground after their classes, given the results of the survey of 500 grade 3 pupils, which revealed that 150 of them stay in the playground after their classes? Assume a confidence level of 95%.--

A rectangular prism is shown in the image.

A rectangular prism with dimensions of 5 yards by 5 yards by 3 and one half yard.

What is the volume of the prism?

twenty eight and one half yd3
forty one and one fourth yd3
eighty seven and one half yd3
166 yd3

Answers

The volume of the prism is 87 and 1/2 cubic yards or 87.5 [tex]yd^{3}[/tex]

What is the volume of the prism?

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

In this case, the length is 5 yards, the width is 5 yards, and the height is 3 and 1/2 yards. We can convert the height to a mixed number fraction of 7/2 yards.

Therefore, the volume of the prism is:

V = lwh = 5 yards × 5 yards × 7/2 yards = 87.5 cubic yards

So, the volume of the prism is 87 and 1/2 cubic yards or 87.5 [tex]yd^{3}[/tex]

to know more about volume

brainly.com/question/1578538

#SPJ1

Question 8(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)

The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.

Which graphical representation would be most appropriate for the data, and why?

Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical

Answers

Histogram would be the most appropriate graphical representation for the collected data,  because it shows each individual data point.

How to plot a histogram?

A histogram is a graphical representation of a distribution of continuous data that is used to visualize the underlying frequency distribution of a set of data. Here are the general steps to plot a histogram:

1. Choose the appropriate number of bins: The first step in creating a histogram is to choose the number of bins or intervals that the data will be divided into. This decision is based on the number of data points and the range of the data.

2. Determine the range of the data: Determine the range of the data, which is the difference between the largest and smallest values in the data set.

3. Calculate the width of each bin: Divide the range of the data by the number of bins to determine the width of each bin.

4. Plot the horizontal axis: The horizontal axis of the histogram represents the range of the data and is divided into the chosen number of bins.

5. Plot the vertical axis: The vertical axis of the histogram represents the frequency or density of the data.

6. Count the number of observations: Count the number of observations that fall into each bin.

7. Plot the bars: Plot the bars of the histogram such that the height of each bar corresponds to the number of observations in each bin.

8. Label the axes and title: Finally, label the horizontal and vertical axes appropriately and give the histogram an appropriate title.

Histogram would be the most appropriate graphical representation for the collected data of milligrams of Vitamin C from 100 different gummy vitamins sold in the world.

A histogram is a graph that displays the distribution of a continuous data set using bars. It is useful for showing the frequency distribution of a large data set and helps to identify patterns or outliers in the data.

In this case, the milligrams of Vitamin C is a continuous variable, and the histogram would display the frequency of different milligram ranges. It would show the concentration range of the vitamin C in the gummy vitamins sold worldwide and provide an overall picture of the distribution of the data.

To know more about histogram visit:

brainly.com/question/30664111

#SPJ1

identify a characteristic of change managers that an organization should consider when employing people.
Change managers are nonconformists who take risks.
Having a large number of conformist is effective for an organization.
Change managers are usually regarded as peacemakers who follow rules.
Having a large number of radical innovators is effective for an organization.

Answers

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about  radical innovation :

https://brainly.com/question/14298323?

#SPJ4

The complete question is:

identify a characteristic of change managers that an organization should consider when employing people.

→ Change managers are nonconformists who take risks.

→ Having a large number of conformist is effective for an organization.

→ Change managers are usually regarded as peacemakers who follow rules.

→ Having a large number of radical innovators is effective for an organization.

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about radical innovation here:

brainly.com/question/14298323?

#SPJ11

( -9, 7) and (4, 7)?

Answers

The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.

Calculating the linear equation of the points

Given that

( -9, 7) and (4, 7)

Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.

Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):

y - y1 = m(x - x1)

y - 7 = 0(x - (-9))

y - 7 = 0

y = 7

So the equation of the line is y = 7.

Read more about linear equation at

https://brainly.com/question/30318449

#SPJ1

Using the yearfrac function in excel - In 2017, the Christian celebration of Easter occurred on Sunday, 16 April. What fraction of the year was this? (to 1 decimal place)

Answers

The fraction of the year representing the Christian celebration of Easter on April 16 is equal to 0.3.

In 2017, there were 365 days in the year.

It was not a leap year.

Easter Sunday occurred on April 16th.

Number of days in months before Easter,

January = 31

February = 28

March = 31

April = 16

Total days in Easter = 31 + 28 + 31 +16

                                  =  106th day of the year

January 1 is the first day of the year.

Total number of days in a year = 365

Fraction of the year

= the number of days up to and including April 16th / the total number of days in the year

= 106 / 365

= 0.2904

= 0.3 (rounded to 1 decimal place)

Therefore, Easter Sunday in 2017 represented as 0.3 fraction of the year.

learn more about fraction here

brainly.com/question/25278844

#SPJ4

The above question is incomplete , the complete question is:

In 2017, the Christian celebration of Easter occurred on Sunday, 16 April. What fraction of the year was this? (to 1 decimal place).

The arc length L of a curve given parametrically by


(x(t), y(t)) for a ≤ t ≤ b


is given by the formula


L = integral a to b(x '(t))2 + (y '(t))2dt


A path of a point on the edge of a rolling circle of radius R is a cycloid, given by


x(t) = R (t − sin t),



y(t) = R (1 − cos t),


where t is the angle (in radians) the circle has rotated.




Find the length L of one "arch" of this cycloid, that is, find the distance traveled by a small stone stuck in the tread of a tire of radius R during one revolution of the rolling tire

Answers

The length of L of one "arch" of the cycloid that is the distance traveled by a small stone stuck in the tread of a tire of radius R during one revolution of the rolling tire is 8R.

The parametric equations of cycloid are,

x(t) = R (t - sint)

y(t) = R (1 - cost)

Now differentiating the equations with respect to 't' we get,

x'(t) = R (1 - cost)

y'(t) = R sint

The length L of one arch of the cycloid is given by,

L = [tex]\int_a^b{\sqrt{(x'(t))^2+(y'(t))^2}}dt[/tex]

Here since the curve is cycloid so a = 0 and b = [tex]2\pi[/tex].

So,

L = [tex]\int_0^{2\pi}{\sqrt{(R(1-\cos t))^2+(R\sin t)^2}dt}[/tex]

  = [tex]\int_0^{2\pi}{\sqrt{R^2(1-\cos t)^2+R^2\sin^2t}dt}[/tex]

  = [tex]R\int_0^{2\pi}{\sqrt{1-2\cos t+\cos^2t+\sin^2t}dt}[/tex]

  = [tex]R\int_0^{2\pi}{\sqrt{2-2\cos t}dt}~~~[\because \cos^2t+\sin^2t=1][/tex]

  = [tex]R\int_0^{2\pi}{\sqrt{2(1-\cos t)}dt}=R\int_0^{2\pi}{\sqrt{4\sin^2 \frac{t}{2}}dt}[/tex]

  = [tex]2R\int_0^{2\pi}{\sin \frac{t}{2} dt}[/tex]

  [tex]=2R\frac{[-\cos \frac{t}{2}]_0^{2\pi}}{\frac{1}{2}}=4R[-\cos\pi+\cos0]=8R[/tex]

Hence the length L of an "arch" of the cycloid, that is, the distance traveled by a small stone stuck in the tread of a tire of radius R during one revolution of the rolling tire is 8R.

To know more about Cycloid here

https://brainly.com/question/29993534

#SPJ4

A particular pancake recipe calls for 3 cups of flour to 1 cup of milk. What is the ratio of flour to milk if you double this

Answers

Answer: It should be the same?

(edit) Answer: The direct answer is 6:2 or 6 (cups) flour 2 (cups) milk

Step-by-step explanation: I'm Confused, the ratio is 3:1 or 1:0/3 even if you double the ratio it would be 6:2 the portions of flour will always 3 times the amount (measurement) of the milk. Correct me if i'm wrong, a bit perplexed why this question is asked.

In triangle ∆ABC, m<A = 33°, m<C = 58°, and AB = 25 in. What is AC to the nearest tenth of an inch?

1. 16.1 in.
2. 38.9 in
3. 42 in.
4. 12 in.​​​

Answers

The value of AC to the nearest tenth is 29.5

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

Angle B = 180-(33+58)

= 180-91 = 89°

using sine rule

represent AC by x

x/ sin89 = 25/sin 58

xsin58 = 25sin89

0.848x = 0.9998×25

0.848x = 24.995

x = 24.995/0.848

x = 29.5( nearest tenth)

therefore the value of AC is 29.5.

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1

Find the measure of angle a and B. Round to the nearest degree.

Answers

The measure of angle A and angle B are 32° and 58° respectively.

What is the measure of anglw A and B?

The figures in the image are right-triangle.

To find the measure of angle A and B, we use the trigonometric ratio.

For angle A:

Angle θ = ?

Opposite to angle θ = 8

Hypotensue = 15

Note that: sine = opposite / hypotensue

sinθ = 8 / 15

Take th sine inverse

θ = sin⁻¹( 8/15 )

θ = 32°

Angle A = 32°

For angle B:

Angle B = ?

Adjacent to angle B = 8

Hypotensue = 15

Note that: cosine = adjacent / hypotensue

cosB = 8/15

Take th cosine inverse

B = cos⁻¹( 8/15 )

B = 58°

Therefore, angle B measures 58 degrees.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

two friends, alice and barbara, are playing a paint ball shooting competition. alice has p accuracy, barbara has q. barbara goes first then alice etc. until only one of them left. what is the chance that the alice wins? is it the same chance if alice goes first?

Answers

If the probability of winning a game is 0.3, then the probability of losing a game is 0.7

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of losing a game can be calculated as the complement of the probability of winning the game.

Since the probability of winning the game is 0.3, the probability of losing the game would be

Probability of losing = 1 - Probability of winning

Substitute the values in the equation

= 1 - 0.3

Subtract the numbers

= 0.7

Learn more about Probability here

brainly.com/question/11234923

#SPJ4

I have solved the question in general, as the given question is incomplete.

The complete question is:

If the probability of winning a game is 0.3, then what is the probability of losing it?

the resultant data are: forty mothers have taken the suspected drug during their pregnancies. of these mothers, 35 have delivered malformed infants. in addition, 10 other infants are born with malfunctions. the number of individuals who both did not take the drug and did not give birth to infants who were malformed was:

Answers

No. of individuals Suspected drug and didn't give birth to in infants malformed is 10.

Number of individuals who did not take the drug and did not give birth to malformed infants.

subtract the number of individuals who took the drug and gave birth to malformed infants.

The total number of mothers, and then subtract the number of infants born with malfunctions.

Total number of mothers = 40

Number of mothers who gave birth to malformed infants after taking the drug = 35

Number of infants born with malfunctions = 10

the number of mothers who did not take the

drug = 40 - 35 = 5

The number of infants born without malfunctions = Total number of infants - Number of infants born with

malfunctions = (40 - 35) + 5 = 10

For similar questions on Suspected

https://brainly.com/question/30548625

#SPJ11

Question 11

The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.

Which graphical representation would be most appropriate for the data, and why?

Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point

Question 12

The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.

Bus 14, with a median of 14
Bus 18, with a mean of 12
Bus 14, with a mean of 14
Bus 18, with a median of 12

Question 13

The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.

Which of the following is the best measure of variability for the data, and what is its value?

The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.

Question 14

Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 39.6°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Answers

The lake activity with a central angle of  [tex]39.6^\circ[/tex] is Wakeboarding.

What is the central angle?

11. the number of tortilla sandwich wraps falling into each interval can be represented by the height or area of the bars. This allows for an easy visualization of the distribution of the data.

12. To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since there are outliers in both data sets, the median would be a more appropriate measure of center than the mean.

For Bus 14, the median is (10 + 12)/2 = 11.

For Bus 18, the median is (10 + 14)/2 = 12.

Therefore, Bus 18 typically has the faster travel time, with a median of 12 minutes.

13. The IQR (interquartile range) is the best measure of variability for the data because it is less sensitive to outliers than the range, and it gives us an idea of how spread out the middle 50% of the data is.

To find Q1, we need to find the median of the lower half of the data: (1+2)/2 = 1.5.

To find Q3, we need to find the median of the upper half of the data: (8+8+8)/3 = 8.

Therefore, the IQR = Q3 - Q1 = 8 - 1.5 = 6.5.

14. To determine the central angle of each lake activity, we need to calculate the percentage of campers who chose each activity and then multiply that percentage by 360 (the total degrees in a circle).

The percentage of campers who chose Kayaking is 15%, so the central angle would be 0.15 x 360 = 54°.

The percentage of campers who chose Wakeboarding is 11%, so the central angle would be 0.11 x 360 = 39.6°.

The percentage of campers who chose Windsurfing is 7%, so the central angle would be 0.07 x 360 = 25.2°.

The percentage of campers who chose Waterskiing is 13%, so the central angle would be 0.13 x 360 = 46.8°.

The percentage of campers who chose Paddleboarding is 54%, so the central angle would be [tex]0.54 x 360 = 194.4^\circ.[/tex]

Therefore, The lake activity with a central angle of  [tex]39.6^\circ[/tex] is Wakeboarding.

Learn more about angle here:

https://brainly.com/question/16831377

#SPJ1

What is 219.8 rounded as indicated

Answers

Answer:

8 is closer to 10, so 219.8 rounded is 220.

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by f(x) = 10x2 −19x + 6, where x is time in minutes. Which of the following equations will reveal the time in minutes when the trough is empty?

Answers

Therefore, the time in minutes when the trough is empty is approximately 0.313 minutes.

To find the time in minutes when the trough is empty, we need to solve the equation f(x) = 0, since f(x) represents the volume of water in the trough.

So, we need to solve the quadratic equation:

[tex]10x^2 - 19x + 6 = 0[/tex]

To solve this equation, we can use the quadratic formula:

[tex]x = (-b ± \sqrt(b^2 - 4ac)) / 2a[/tex]

where a = 10, b = -19, and c = 6.

Plugging in these values, we get:

[tex]x = (-(-19) ± \sqrt((-19)^2 - 4(10)(6))) / 2(10)[/tex]

[tex]x = (19 ± sqrt(241)) / 20[/tex]

So, the two solutions are:

[tex]x = (19 + \sqrt(241)) / 20 \approx1.807 minutes[/tex]

[tex]x = (19 - \sqrt(241)) / 20 \approx0.313 minutes[/tex]

However, only the second solution makes sense in this context, since the trough cannot be empty before we start draining the water. Therefore, the time in minutes when the trough is empty is approximately 0.313 minutes.

To know more about quadratic visit:

https://brainly.com/question/22364785

#SPJ1

Each letter in the word ORLANDO is written on a card and put into a bag. What is the theoretical probability of choosing an “O”, putting it back and then drawing a “A”.

Answers

Hence, The theoretical probability of selecting a "O", returning it to the bag, and then selecting a "A" from the collection is 2/21.

What is the probability?

The probability  of an occurrence is a number used in mathematics to describe how likely it is that the event will take  place. In terms of percentage  notation, it is expressed as a number  between 0 and 1, or between 0% and 100%. The higher the likelihood, the more  likely it is that the event will take place.

What is the event in probability?

In probability theory,  an event is a set of outcomes  of an experiment to which a probability is assigned. A single outcome may be  an element of many different events, and different events  in an experiment are usually not equally likely, since they may include  very different groups of outcomes.

The  word  "ORLANDO"  consists of 7 letters,

in this word  "ORLANDO"  the  O letter is 2 times  and A is one times

probability  of "O" letters  is 2/7  before  there are two "O"s in  total out of the  seven letters because we are putting the first letter back before drawing the second.

After  that, there are  still 2 "O"s and 1 "A" in the bag for  the  second draw because  we placed the first "O" back. Because there is only one "A" out of a  possible three letters,  the probability  of drawing one on the second draw is one in three.

We multiply the   probabilities of each occurrence  to determine the probability that both will occur:

P("O" on the first draw)* P("A" on the second draw) = (2/7) * (1/3) = 2/21

The theoretical probability of selecting a "O", returning it to the bag, and then selecting a "A" from the collection is therefore 2/21, or roughly 0.095, or 9.5%.

Learn more about Probability here:

https://brainly.com/question/13604758

#SPJ1.

The volume of Box A is 2/5
the volume of Box B. What is the height of Box A
if it has a base area of 32 square centimeters?
Box A
32 cm
Box B
10 cm
8cm
16 cm

Answers

The volume of the box A is approximately 6.4 centimeters

Determining the volume of a box

Let's denote the height of Box A by h, and its volume by V. We can set up a proportion between the volumes of Box A and Box B as follows:

V(A) = (2/5) V(B)

Since the volume of a box is given by its base area times its height, we can express the volumes of Box A and Box B in terms of their base areas and heights:

32h = (2/5) (10 × 8 × 16) = 512

Simplifying the right-hand side:

32h = 204.8

Dividing both sides by 32:

h = 6.4

Therefore, the height of Box A is 6.4 centimeters.

Learn more on volume of box here: https://brainly.com/question/14957364

#SPJ1

please help me with this question!!!!

Answers

The distance between building B and C is 10√2 meters, or 9.38 meters, rounded to two decimal places.

What is triangle?

Triangle is a three-sided geometric shape. It has three vertices which join together to form three sides. The sum of the three angles in a triangle is always equal to 180°. It can be classified into three types, namely equilateral, isosceles, and scalene based on the length of the sides. Triangles can also be classified as right, obtuse, or acute depending on the angles. Triangles are one of the most basic shapes in geometry and are used in many real-world applications such as architecture and engineering.

To answer this question, we need to use the Pythagorean theorem, which states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse.

Using the given information, we can set up the equation:

10² + x² = (x√2)²

Where x is the distance between building B and C.

We can solve this equation with algebra to find x:

100 + x² = 2x²

x² = 100

x = 10√2

Therefore, the distance between building B and C is 10√2 meters, or 9.38 meters, rounded to two decimal places.

To know more about triangle click-
http://brainly.com/question/22062407
#SPJ1

in par 12.2 cm 9.3 cm 9.3 cm 7.9 cm 26.5 cm 9.3 cm 17.2 cm 9.3 cm. ? 21.5 cm​

Answers

Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.

This is due today. PLEASE HELP

Answers

Answer:

The first, third, fifth and 6th statements are true.

Step-by-step explanation:

Answer:

Here are the ones you should select:

The slope of AB is equal to slope of ACThe slope of AB is equal to the slope of the lineSlope of the line is equal to BE/AEThe slope of the line is equal to CD/AD

Step-by-step explanation:

1) The slope of AB is equal to slope of AC

Rise over run for AB =2/4=1/2

Rise over run for AC=3/6=1/2

so they are equal

2) Slope of AB is not equal to BE because of visual reasons but if you need an explanation I can provide it

3) AB is a segment on the line, so the slopes are equal as you can see in the illustration provided in the question

4/5) Slope=[tex]\frac{rise}{run}[/tex], but AE/AB is not that, BE/AB is rise/run, so it's correct

6) CD/AD=rise/run, so it's correct

sorry if i got anything wrong!

WILL MARK AS BRAINLEIST!!!!
I have more questions on my account of anyone can help me out!!

The question is in the picture!

Answers

the area of the region R = 4/3 the value of c that divides the region R into two equal sub-regions is approximately 1.636.

How do we calculate?

We need to integrate the function

y = 2x - x² with respect to x, from x = 0 to x = 2.

The graph of the function intersects the x-axis at x = 0 and x = 2.

So,

Area of region R = ∫[0,2] (2x - x²) dx

= [x² - (1/3)x³] from 0 to 2

= [2² - (1/3)(2)³] - [0² - (1/3)(0)³]

= 4/3

Now, let's find the equation of the line y = cx. Since the line passes through the origin (0,0), we have y = cx.

To find the value of c that divides the region R into two equal subregions, we need to find the value of x where the

area under the curve y = 2x - x² is equal to the area under the line y = cx.

∫[0,a] (2x - x²) dx = ∫[0,a] cx dx

[2x²/2 - x³/3] from 0 to a = [c/2 x²] from 0 to a

2a²/2 - a³/3 = c/2 a²

We multiply both sides by 6, we get:

12a² - 2a³ = 3ac

2a² - (1/3)a³ = (1/2)ac

2a - (1/3)a² = (1/2)c

c = (4a - (2/3)a²)/2

We know that the area under the line is equal to the area under the curve up to the point of intersection, we have:

∫[0,a] (2x - x²) dx = ∫[0,a] (cx) dx - ∫[a,2] (2x - x²) dx

2a²/2 - a³/3 = c/2 a² - 2a² + (8/3)a³ - 4a + (4/3)a²

10a³/3 - 7a² + 4a = 0

a = 0, 1.4105, -0.6172

The only value of a that is within the range 0 to 2 is a = 1.4105. Substituting this value into the equation for c, we get:

c = (4a - (2/3)a²)/2 = 1.636

Learn more about area under the curve at: https://brainly.com/question/15122151

#SPJ1

g suppose that the company releases a statement that the mean time for all patients is 2 hours. is this possible? is it likely?

Answers

Answer:

Whether it is possible or likely that the mean time for all patients is 2 hours depends on the context of the situation and the characteristics of the data.

If the data on patient wait times is very tightly clustered around the 2-hour mark, such that there is very little variation or dispersion in the data, then it is possible that the mean time for all patients is 2 hours. However, in most real-world situations, it is unlikely that all patients would have exactly the same wait time, so it is unlikely that the mean time for all patients would be exactly 2 hours.

Furthermore, the statement that the mean time for all patients is 2 hours may be misleading or inaccurate if it does not take into account other factors that may affect wait times, such as the time of day, the day of the week, the severity of patients' conditions, and the efficiency of the hospital's operations. Therefore, it is important to consider not only the mean time but also other measures of central tendency and dispersion, as well as other factors that may impact patient wait times, in order to fully understand and interpret the data.

Coach Sanchez is setting up a court for
a game of four-square. He has a
square space, with an area of 64
square feet. What is the longest side
length Coach Sanchez can make for
one side of the court?

Answers

Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.

Explain about the square root:

The factor of a number that, when multiplied by itself, equals the original number is known as the square root of the number. Practically speaking, determining a number's square root is the reverse of doing so to find its square.

Properties

A perfect square root corresponds to a perfect square number.The square root of an even perfect number is even.The square root of an odd perfect number is odd.

You only need to find that square root of the area to determine the length of a side because we know that a square already has equal sides so the area is determined by two sides.

√64 = 8

Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.

Know more about the square root

https://brainly.com/question/428672

#SPJ1

Other Questions
Grand Ledge Technologies, Inc., is doing early screening on whether to introduce a new line of self-driving delivery vehicle. They want to know the minimum quantity they need to produce and sell to generate a Net Present Value equal to zero. What type of analysis should they do?Multiple Choice O Payback Period O Accounting Breakeven O Financial BreakevenOInternal Rate of Return O Random Number Generator QUESTION 19 Suppose a company expects dividends to be $2.50 next year. They forecast that dividends will grow at the rate of 4% per year forever. If the required return for this stock is 14%, the price of the stock should be A. 4% B. $2.50 C $25.00 D. $62.50 the enzyme pepsin breaks down proteins from food into peptides and originates from cells lining the stomach. what mechanism prevents pepsin from digesting the stomach's own cells? One Flew Over the Cuckoos NestThis is your Movie Critique/Review Assignment (worth 15% of your final grade)The assignment must be turned in as a Word Document. Use Times New Roman, size 12 Font. Your assignment must be a minimum of 1000 words.Use the template below to guide you through the assignment. Your answers may be presented using numbers, bullets, paragraphs or a combination of the three.These are your opinions. No need to research and site sources. Do not plagiarize!Provide the following information about the film:The titleWriterDirectorWhat year was the film releasedWhat time period was the film setList two filming locationsList the estimated budgetList the studio or studios that distributed the movieList the Actor that played the role:P. McMurphyNurse RatchedMartiniCheswickHardingTaborChief BromdenBilly BibbitTurkleProvide a synopsis (summary) of the film. When you talk about characters, include the actor's name in brackets.Give three detailed examples discussing how the film has shown mental health treatment. You must be detailed in describing the scene and the characters involved.What do you think the film is trying to say about mental health treatment during this time period?Make a final summarizing statement about the film. Do you recommend it? Give the film your own personal rating (stars/thumbs up/letter grade) Take a look at this piece of art:Painting of Jesus sitting at a long table with his apostles on either side of him.What is the name of this painting? A. The Vigin on the Rocks B. The Last Supper C. The Birth of Venus D. Mona Lisa a saline solution used in intravenous drips contains 0.92% (w/v) nacl in water. how many grams of nacl are contained in 250 ml of this solution? drop and shop programs use convenience to get consumers to recycle products like batteries or cell phones during a regular trip to the store Audrey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4. 25 hours and charged her $156 for parts. The total was $347. 25. What was the cost of labor, per hour? explain the differences between the short mix technique, the improved mix technique, and the intensive mix technique. 4. Look at the artwork below. Identify the type ofartwork and the people that produced it, anddescribe its uses and important features. (8 points) a large sample of x-y data values are analyzed and reveal a correlation coefficient of-.88. which statement is correct? group of answer choices a weak negative relationship exists. the correlation is weak because r is less than -1. if r had been .88, the correlation would have been much stronger. there is no relation. a fairly strong negative linear relationship exists. * Archegonia _____.A) are the sites where male gametes are producedB) have the same function as sporangiaC) may contain sporophyte embryosD) make asexual reproductive structures if the binding energy per nucleon is large, does this make it harder or easier to strip off a nucleon from a nucleus? thomas buys a bond at a premium of 200 to yield 6% annually. the bond pays annual coupons and is redeemable for its par value of 1000. calculate the amount of interest in the first coupon. chet is concerned the new system might have problems interfacing with our accounting system, which has also been around a while. what do you think? question 4 an unhappy systems administrator installed malware that attacked after a timed event, rather than when it was installed. what type of malware does this describe a researcher investing whether joggers are less likely to get colds than people who do not job found a p-val;ue of 3%. this means that const winner = { rock: {scissors: "", lizard: ""}, paper: {rock: "", spock: ""}, scissors: {paper: "", lizard: ""}, lizard: {spock: "", paper: ""}, spock: {scissors: "", rock: ""},};function getWinner(player1, player2){if (winner[player1] == winner[player2]) return 'Draw';if ((winner[player1] == 'rock' && (winner[player2] == 'scissors' || winner[player2] == 'lizard')) || (winner[player1] == 'paper' && (winner[player2] == 'rock' || winner[player2] == 'spock')) || (winner[player1] == 'scissors' && (winner[player2] == 'paper' || winner[player2] == 'lizard')) || (winner[player1] == 'lizard' && (winner[player2] == 'spock' || winner[player2] == 'paper')) || (winner[player1] == 'spock' && (winner[player2] == 'scissors' || winner[player2] == 'rock'))) return 'Player 1 won'; else return 'Player 2 won'; }This is JavaScript I can't firgure this out. The 'draw' works but it always returns to 'player 2 won' if its not a draw meaning that I'm doing the previous if statement wrong. If I do console.log(winner['lizard']) it returns , spock: '' paper: '';I tried doing the if statement like if (winner[player1] == player2) return 'Player 1 won'; but that also didn't work 19.Solve the problem.2Find the critical value XR corresponding to a sample size of 5 and a confidencelevel of 98%.(1 point)O11.14300.29713.27700.484 the ________ authorizes the buyer of a company to purchase goods. group of answer choices bill of lading picking list purchase order purchase requisition sales order