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

Question 15
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Mustard Chili
63 27 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
900
2,000
2,100
4,000

Answers

Answer 1

A graphical representation would be most appropriate for the data, and why is: B. Line plot, because there is a large set of data.

A bus that typically has the faster travel time is; D. Bus 18, with a median of 12.

The best measure of variability for the data, and its value is: C. The IQR is the best measure of variability, and it equals 8.

If a circle graph was constructed from the results, a lake activity which has a central angle of 39.6° is: B. Wakeboarding.

Based on the data in this sample, the number of the people in attendance that would prefer ketchup on a hot dog: C. 2,100.

What is a line plot?

In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

For Bus 14, the median is given by;

6,6,8,9,10,12, 12, 14, 14,16,16,18,20,22

Median of Bus 14 = (12 + 14)/2

Median of Bus 14 = 26/2 = 13.

Mean of Bus 14 = 13.01 ≈ 13.

For Bus 18, the median and mean is given by;

6,6,8,9,10,10,12, 12, 14,14,16,16,18,20,22

Median of Bus 18 = 12.

Mean of Bus 18 = 12.87 ≈ 13.

From the Roses Purchased Per Day, we have;

6,6,8,9,10,12,12,14,14,16,16,18,20,22

IQR = Third quartile - First quartile

IQR = 16.5 - 8.75 = 7.75 ≈ 8.

For the lake activity has a central angle of 39.6°, we have;

Wakeboarding = 11/100 campers × 360°

Wakeboarding = 39.6°

Based on the proportion of people in the sample, those who prefer Ketchup is given by:

Ketchup = 63/150

Ketchup = 0.42

Therefore, we would multiply the above proportion by the total number of attendees:

Ketchup = 0.42 x 5,000

Ketchup = 2,100 people.

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Related Questions

Urgent, please help!

Answers

It has been proved that the lines MN and PR are parallel because they have the same slope.

How to identify the slope of parallel lines?

We are given the coordinates of the points P, Q and R as:

P(-3, -6)

Q(1, 4)

R(5, -2)

Since M is the midpoint of PQ, we have:

M = (-3 + 1)/2, (-6 + 4)/2

M = (-1, -1)

N is the midpoint of QR and so:

N = (1 + 5)/2, (4 - 2)/2

N = (3, 1)

Slope of MN = (1 + 1)/(3 + 1) = 1/2

Slope of PR = (-2 + 6)/(5 + 3)

Slope of QR = 4/8 = 1/2

Both slopes are equal and as such they are parallel lines

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From a piece of cardboard that is 32 inches by 12 inches, you are making a box by cutting equal squares at each corner and folding it up. What size should the squares be for the volume of the box to be maximal? Find x

Answers

For the maximum volume of , the value of x must be smaller that is x = 2.90 inch. Size of square = 8.41 sq. in.

Explain about maxima and minima:

The issue is an application of maxima and minima, where the unknown quantity is located using the first derivative. Keep in mind that the height of a box is equal to a side of the cut square when the sides are bent upward. Moreover, the box formula's volume is

Volume = length * width * height

Given:

Length of rectangle cardboard l = 32 inchesWidth of rectangle cardboard w = 12 inchesLength of the side of each square - x inxhes.

Volume of new box = (32 - 2x)(12 - 2x)x

Rearranging terms:

V = 4x³ - 88x² + 384x

For maximum volume, V' = 0 (first derivative)

V' = 12x² - 167x + 384

V' = 0

12x² - 167x + 384 = 0

Solve using quadratic formula:

x = [-b ± √(b² - 4ac)] / 2a

a = 12 , b = - 167 , c = 384

x = [167 ± √(167² - 4*384*12)] / 2*12

x =  [167 ± 7√193] / 24

Now,

x =  [167 + 7√193] / 24

x = 11.01 inch

and,

x = [167 - 7√193] / 24

x = 2.90 inch

For the maximum volume of , the value of x must be smaller that is x = 2.90 inch.

Size of square = x²

Size of square = 2.90²

Size of square = 8.41 sq. in.

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find the volume of a cylinder with a diameter of 22 yd and a height of 7 yd

Answers

V=π(d

2)2h=π·(20.12

2)2·6.4≈2034.42618m

A composite figure is represented in the image.

A six-sided composite figure. A vertical line on the left is labeled 8 meters. The base is labeled 18 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 6 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 8 meters labeled.

What is the total area of the figure?

192 m2
216 m2
288 m2
336 m2

Answers

The total area in the image is 288 square metres.

    Figures can be divided into rectangles and triangles.

    The rectangle has a base of 18 m and a height of 8 m, giving it an area of ​​18 x 8 = 144 m2. The triangle has a base of 12 m (18 - 6) and a height of 8m, giving it an area of ​​0.5 x 12 x 8 = 48 m2.

    Adding the area of ​​rectangles and triangles gives us a total land area of ​​144 + 48 = 288 m2.

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Use the table to answer the question that follows. ROR Portfolio 1 Portfolio 2 Portfolio 3
8. 9% $850 $1,050 $1,175
−5. 1% $2,425 $1,950 $550
12. 4% $280 $1,295 $860
4. 2% $1,400 $745 $550
0. 9% $2,330 $1,050 $2,000


Using technology, calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?

Answers

The weighted mean of the RORs for each portfolio, from best to worst, is:

Portfolio 3: 4.36%

Portfolio 2: 3.2%

Portfolio 1: 0.94%

To calculate the weighted mean of the RORs for each portfolio, we need to multiply each rate of return by its corresponding portfolio value, sum the results, and divide by the total value of the portfolios:

Weighted Mean ROR = sum of value / total amount

sum of value = portfolio value x rate of return

For Portfolio 1:

(0.089 x 850) + (-0.051 x 2425) + (0.124 x 280) + (0.042 x 1400) + (0.009 x 2330)

Sum of value = 75.65 - 123.68 + 34.72 + 58.8 + 20.97

                      = 61.46.

Weighted Mean ROR = 61.46 / (850 + 2425 + 280 + 1400 + 2330)

                                    = 61.46 / 7285

                                    = 0.0094 or 0.94% (third)

For Portfolio 2:

(0.089 x 1050) + (-0.051 x 1950) + (0.124 x 1295) + (0.042 x 745) + (0.009 x 1050)

Sum of value = 93.45 - 99.45 + 160.58 + 31.29 + 9.45

                      = 195.32.

Weighted Mean ROR = 195.32 / (1050 + 1950 + 1295 + 745 + 1050)

                                    = 195.32 / 6090

                                    = 0.032 or 3.2% (second)

For Portfolio 3:

(0.089 x 1175) + (-0.051 x 550) + (0.124 x 860) + (0.042 x 550) + (0.009 x 2000)

Sum of value = 104.58 - 28.05 + 106.64 + 23.1 + 18

                      = 224.27.

Weighted Mean ROR = 224.27 / (1175 + 550 + 860 + 550 + 2000)

                                    = 224.27 / 5,135

                                    = 0.0436 or 4.36% (first)

To compare the overall performance of the portfolios, we can rank them based on their weighted mean RORs, from highest to lowest:

Portfolio 3: 4.36%

Portfolio 2: 3.2%

Portfolio 1: 0.94%

Therefore, the overall performance of the portfolios, from best to worst, is Portfolio 3, Portfolio 2, and Portfolio 1.

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devry math 221 week 6 quiz (co 5) a company claims that its heaters last less than 5 years. write the null and alternative hypotheses.

Answers

Null hypothesis: The average lifespan of the heaters is equal to or greater than 5 years

Alternative hypothesis: The average lifespan of the heaters is less than 5 years.

What are null and alternative hypotheses of the claim?

In hypothesis testing, the null hypothesis (H0) is a statement that assumes no significant difference between a sample statistic and a population parameter. The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and asserts that there is a significant difference between the sample statistic and the population parameter.

In this scenario, the company claims that its heaters last less than 5 years. We can express this claim as the alternative hypothesis (Ha), which states that the average lifespan of the heaters is less than 5 years.

On the other hand, the null hypothesis (H0) is a statement that assumes that the average lifespan of the heaters is equal to or greater than 5 years. This is the default assumption until evidence is found to support the alternative hypothesis.

To test these hypotheses, we would collect a sample of heaters and measure their lifespans. We would then calculate the sample mean and compare it to 5 years. If the sample mean is significantly less than 5 years, we would reject the null hypothesis and conclude that the average lifespan of the heaters is less than 5 years.

In summary, the null and alternative hypotheses for this scenario are:

Null hypothesis (H0): The average lifespan of the heaters is equal to or greater than 5 years.

Alternative hypothesis (Ha): The average lifespan of the heaters is less than 5 years

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The greatest value in the range

Answers

The answer would be -4

Which of the following relationships proves why ADC and BCD are congruent?

A.ASA
B.SAS
C.SAA
D.HL

Answers

A relationship that proves why ADC and BCD are congruent include the following: D. HL.

What is the Right Triangles Similarity Theorem?

In Mathematics, the Right Triangles Similarity Theorem states that when the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then, the two (2) triangles that are formed would be similar to each other, as well as the original triangle.

What is HL?

In Mathematics, HL is an abbreviation for hypotenuse leg and it can be defined as a theorem which states that if the hypotenuse and one (1) leg in a right-angled triangle are congruent to the hypotenuse and leg of another right-angled triangle, then the two (2) triangles would be congruent.

By applying the hypotenuse leg (HL) theorem across right-angles BCD (∠BCD) and ADC (∠ADC), we have the following;

ΔAC ≅ ΔBD

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Answer:

SAS

Step-by-step explanation:

What is the minimum of the graph described by y= (x - 2)2 - 3

Answers

Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

what other patterns can you discover in the subway ridership dataset using calculations with multiple operators?

Answers

Subway ridership data can reveal useful patterns through calculations with multiple operators, informing decisions about infrastructure and scheduling to better serve riders' needs.

Why Subway ridership data reveal useful patterns through calculations?

The subway ridership dataset can reveal a wealth of information through calculations with multiple operators. One such calculation is the average increase or decrease in ridership during specific time intervals. By comparing ridership during peak and off-peak hours or weekdays versus weekends, it is possible to determine when the subway system is busiest and when it is underutilized.

Another useful calculation is the average percentage change in ridership between different stations or subway lines. This can help identify the most popular stations or lines and can inform decisions about where to allocate resources and infrastructure improvements.

Additionally, it is possible to explore the correlation between ridership and other factors such as weather, events, or holidays. By analyzing how ridership fluctuates in response to external factors, transportation planners can adjust schedules and routes to better serve the needs of riders.

Calculations with multiple operators can also reveal patterns in ridership based on time of year or day of the week. By analyzing the average change in ridership on different days or months, transportation planners can make informed decisions about scheduling and staffing.

Finally, regression analysis can be used to identify the overall trend in ridership over time. By examining long-term ridership trends, transportation planners can identify areas for improvement and plan for future infrastructure projects to better meet the needs of subway riders.

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a weighted coin has a 0.472 probability of landing on heads. if you toss the coin 16 times, what is the probability of getting heads no more than 5 times?

Answers

The probability of getting heads no more than 5 times in 16 tosses of a weighted coin with 0.472 probability of landing on heads is 0.6917.

To solve this problem, we need to use the binomial distribution formula, which gives the probability of getting exactly k successes in n independent Bernoulli trials, each with probability of success p.

The formula is:

P(k successes out of n trials) = [tex](n choose k) * p^k * (1-p)^(n-k)[/tex]

where (n choose k) = n! / (k! * (n-k)!)

In this case, we want to find the probability of getting no more than 5 heads in 16 tosses of a weighted coin with p = 0.472.

We can calculate this by summing up the probabilities of getting 0, 1, 2, 3, 4, or 5 heads:

P(0 or 1 or 2 or 3 or 4 or 5 heads in 16 tosses) = P(0 heads) + P(1 head) + P(2 heads) + P(3 heads) + P(4 heads) + P(5 heads)

Using the binomial distribution formula, we get:

[tex]P(0 heads) = (16 choose 0) * 0.472^0 * (1-0.472)^(16-0) = 0.0058[/tex]

[tex]P(1 head) = (16 choose 1) * 0.472^1 * (1-0.472)^(16-1) = 0.0335[/tex]

[tex]P(2 heads) = (16 choose 2) * 0.472^2 * (1-0.472)^(16-2) = 0.0897[/tex]

[tex]P(3 heads) = (16 choose 3) * 0.472^3 * (1-0.472)^(16-3) = 0.1567[/tex]

[tex]P(4 heads) = (16 choose 4) * 0.472^4 * (1-0.472)^(16-4) = 0.2022[/tex]

[tex]P(5 heads) = (16 choose 5) * 0.472^5 * (1-0.472)^(16-5) = 0.2038[/tex]

Therefore,

P(0 or 1 or 2 or 3 or 4 or 5 heads in 16 tosses) = 0.6917.

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Determine the theoretical probability of rolling a number that is divisible by 3 two times in a row. Write your answer as a decimal rounded to the nearest thousandth

Answers

The theoretical probability of rolling a number that is divisible by 3 two times in a row of a number cube is approximately 0.111

Calculating the probability

Since we are rolling the cube twice in a row, the probability of rolling a number that is divisible by 3 twice in a row is the product of the probabilities of rolling a number that is divisible by 3 on each roll, assuming that the rolls are independent of each other.

That is,

P(rolling 3 or 6 twice) = P(rolling 3 or 6 on first roll) × P(rolling 3 or 6 on second roll)

So,, we have

P(rolling 3 or 6 twice) = (1/3) × (1/3) = 1/9

To write this as a decimal rounded to the nearest thousandth, we can divide 1 by 9 and round the result to three decimal places:

P(rolling 3 or 6 twice) ≈ 0.111

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Which of the equations below best describes the graph?

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ 1 }{ 3 }\\[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-2=\cfrac{ 1 }{ 3 }x \\\\\\ {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }+2\implies y=\cfrac{2}{6}x+2 \end{array}}[/tex]

Use the functions f(x) and g(x) to answer the question. F(x)=x²-16; g(x)=x+4


Which answer is equal to (f/g)(x)


A x+4,x=-4

B x+4,x=4

C x-4,x=4

D x-4,x=-4


**All eqaul signs in answers are "do not equal signs"**

Answers

Using the functions f(x) and g(x) as F(x)=x²-16; g(x)=x+4, (f/g)(x) = (x^2 - 16)/(x + 4) when x = -4. So, the correct answer is option D.

To find (f/g)(x), we need to divide f(x) by g(x). The notation (f/g)(x) is another way of representing the function f(x)/g(x).

So, we first need to find f(x)/g(x) by dividing f(x) by g(x):

f(x)/g(x) = (x^2 - 16)/(x + 4)

Now, we can plug in the values of x in each option and see which one gives us the correct function.

Option A: (f/g)(-4) = ((-4)^2 - 16)/(-4 + 4) = undefined

Option B: (f/g)(4) = (4^2 - 16)/(4 + 4) = -1

Option C: (f/g)(4 - 4) = (0^2 - 16)/(4 - 4) = undefined

Option D: (f/g)(-4 - 4) = ((-4)^2 - 16)/(-4 - 4) = 0

Therefore, the correct answer is option D: (f/g)(x) = (x^2 - 16)/(x + 4) when x = -4.

Note that options A and C give undefined values because they have x + 4 in the denominator, which makes the function undefined at x = -4 and x = 4, respectively.

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From the top of a 120-foot-high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 19°. How far from the base of the tower is the airplane? Round to the nearest tenth.

1. 126.9 ft
2. 368.6 ft
3. 41.3 ft
4. 348.5 ft​

Answers

Using a trigonometric relation we can see that the correct option is the last one;

4. 348.5 ft​

How to find the distance?

We have a right triangle, so we can use trigonometric relations.

The angle at the top of the triangle is a, and it must solve the equation:

a + 19° = 90°

a = 90° - 19° = 71°

Now we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

REplacing what we know:

tan(71) = ?/120 ft

120ft*tan(71) = ? = 348.5ft

That is the distance.

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There are 90 pens in a box and 36 of them are red and the rest of them are black What is the ratio of the red pens to black pens

Answers

If there are 90 pens in a box and 36 of them are red and the rest of them are black, the ratio of red pens to black pens in the box is 2:3.

The ratio of red pens to black pens in the box can be expressed as a fraction or as a simplified ratio. To do this, we need to determine the number of black pens in the box.

We know that there are 90 pens in total, and 36 of them are red. Therefore, the number of black pens can be found by subtracting the number of red pens from the total:

90 pens - 36 red pens = 54 black pens

Now we know that there are 54 black pens and 36 red pens in the box. To express this as a ratio, we can simplify it by dividing both numbers by their greatest common factor (GCF), which in this case is 18:

36/18 : 54/18

Simplifying further, we get:

2:3

This means that for every 2 red pens, there are 3 black pens in the box.

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5x + 2(x-3) =5x + 2(3-x) what kind of solution

Answers

quadratic inequality

Answer:

3

Step-by-step explanation:

5x + 2(x-3) =5x + 2(3-x)

or,5x+2x-6=5x+6-2x

or,7x-6=3x+6

or,4x=12

or,×=3

Can someone help me fast with this please!?!?!

If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000.
A. 5,220,000 songs were downloaded in the year 2020.
B. There is not enough information to interpret the information.
C. In the year 2020 $5,220,000 was earned from downloaded songs.
D. 2,020 songs were downloaded at a cost of $5,220,000.

Answers

the correct answer is A.

5,220,000 songs were downloaded in the year 2020.

If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000?

The interpretation of s(2020) = 5,220,000 is "5,220,000 songs were downloaded in the year 2020".

Therefore, the correct answer is A. 5,220,000 songs were downloaded in the year 2020.

Interpretation refers to the process of explaining or giving meaning to information, data, or phenomena. It involves analyzing and making sense of information to draw conclusions or make decisions based on the findings.

Interpretation can involve subjective judgment and may depend on the perspective, assumptions, or biases of the interpreter.

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Adam wants to play a practical joke on his brother.
He wants to fill his brother's bedroom entirely with packing peanuts.
His brother's bedroom is in the shape of a cube with side lengths of 8ft.
How many cubic feet of packing peanuts will Adam need?

Answers

Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

What is cube?

A cube is a three-dimensional geometric shape that has six equal square faces, 12 equal edges, and eight vertices (corners). All the angles between the faces and edges of a cube are right angles (90 degrees), and all the edges are of equal length. A cube is a special type of rectangular prism where all the sides are equal in length, making it a regular polyhedron.

The volume of a cube is calculated by raising the length of one of its sides to the third power. In this case, the side length is 8ft.

So, the volume of the cube is:

8³ = 512 cubic feet

Therefore, Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

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The numerator and denominator of a fraction are in the ratio of one to two. When the numerator is decreased by two and
the denominator is multiplied by two, the simplified value of the new fraction is 3/8. Find the original fraction.

Answers

The original fraction is x/(2x) = 4/8, which simplifies to 1/2.

Let the numerator of the original fraction be x and the denominator be 2x (since the numerator and denominator are in the ratio of 1:2).

When the numerator is decreased by two, the new numerator is x - 2. When the denominator is multiplied by two, the new denominator is 4x.

We know that the simplified value of the new fraction is 3/8, so we can write the following equation:

(x - 2)/(4x) = 3/8

To solve for x, we can cross-multiply:

8(x - 2) = 3(4x)

8x - 16 = 12x

4x = 16

x = 4

Therefore, the original fraction is x/(2x) = 4/8, which simplifies to 1/2.

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A concert hall opened in 2019. The average number of visitors per concert during that year was 584. In 2020, the average number of visitors per concert increased by 1. 2% find the average number of visitors per concert in 2020

Answers

The average number of visitor per concert in 2020 as compare to average number of visitors in 2019 is equal to 591 ( approximately ).

Average number of visitors per concert in 2019 was 584,

And the average number of visitors per concert in 2020 increased by 1.2%,

The average number of visitors per concert in 2020 as follows,

Average number of visitors per concert in 2020

= Average number of visitors per concert in 2019 + Increase in average number of visitors per concert

Increase in average number of visitors per concert

= 1.2% of the average number of visitors per concert in 2019

= (1.2/100) x 584

= 7.008

This implies,

The increase in the average number of visitors per concert from 2019 to 2020 is approximately 7.008.

Adding this increase to the average number of visitors per concert in 2019 gives us,

Average number of visitors per concert in 2020

= 584 + 7.008

= 591.008

Rounding this to the nearest whole number, we get,

Average number of visitors per concert in 2020 ≈ 591

Therefore, the average number of visitors per concert in 2020 is approximately 591.

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a rotating light is located 12 feet from a wall. the light completes one rotation every 2 seconds. find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 20 degrees from perpendicular to the wall.

Answers

The rate at which the light's projection moves along the wall when the light's angle is 20 degrees from perpendicular to the wall is approximately 1.078 feet per second.

Let's let t be the time elapsed since the light started rotating, and θ be the angle that the light makes with the perpendicular to the wall, as shown in the diagram. The rate at which the light's projection moves along the wall is given by the derivative of the horizontal distance between the projection point P and the foot of perpendicular Q, with respect to time t. Let's call this distance x.

From the diagram, we can see that:

tan(θ) = x / 12

Differentiating both sides with respect to time t, we get:

sec²(θ) dθ/dt = (dx/dt) / 12

We are given that the light completes one rotation every 2 seconds, which means that the angular velocity of the light is:

dθ/dt = 2π / (2 seconds) = π radians per second

Substituting this value and θ = 20° (converted to radians), we get:

sec²(20°) (π rad/sec) = (dx/dt) / 12

Simplifying:

(1/cos²(20°)) (π/2) = (dx/dt) / 12

Multiplying both sides by 12 and evaluating the left-hand side, we get:

dx/dt = 1.078 feet per second

As a result, when the light's angle is 20 degrees from perpendicular to the wall, the pace at which the projection advances along the wall is roughly 1.078 feet per second.


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Find a in degrees 5 a 9 4

Answers

Answer:

a=37° to the nearest whole number

Step-by-step explanation:

cos0=adj/hyp

cosa=4/5

a=cos‐¹(4/5)

a=36.869°

a=37° to the nearest whole number

Use the model below to find 1/4 divded by 3/4

Answers

For dividing fractions it's also useful to know that the first fraction (1/4) is called the dividend and the second fraction (3/4) is called the divisor.

Let's set up 1/4 and 3/4 side by side so they are easier to see:

1/4  /  3/4

When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/4 x 4/3

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

1 x 4 / 4 x 3 = 4/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

4/12 = 0.3333

HELP ME PLS
1. If the diameter of a circle is segment AB where Point A is located at (-3, 6), and Point B located at (-8,-1), what is the diameter of the circle?

2√2
√146
√74
74

Answers

The diameter of the circle is √74. Answer: C.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center. It can also be defined as the set of points that are a fixed distance (called the radius) away from the center point.

To find the diameter of the circle, we need to find the distance between points A and B, which will give us the length of the diameter.

Using the distance formula, we have:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) = (-3, 6) and (x2, y2) = (-8, -1).

Plugging in the values, we get:

d = √[(-8 - (-3))² + (-1 - 6)²]

= √[(-5)² + (-7)²]

= √[25 + 49]

= √74

Therefore, the diameter of the circle is √74. Answer: C.

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Standard deviation is a: Group of answer choices A. numerical indicator of how widely dispersed possible values are distributed around the correlation coefficient B. numerical indicator of how widely dispersed possible values are distributed around the coefficient of variation C. measure of the relative risk of one asset compared with another D. numerical indicator of how widely dispersed possible values are distributed around the mean

Answers

The correct answer is D. Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean.

It is a common measure used to assess the variability or spread of a set of data points. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. The standard deviation is an important statistical tool in many fields, including finance, economics, and engineering.

Standard deviation is a measure of variation or dispersion between values in a set of data. It is a numerical indicator of how widely dispersed possible values are distributed around the mean (or expected value), μ. The lower the standard deviation, the closer the data points tend to be to the mean

Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean. It is a commonly used measure to quantify the amount of variation or dispersion in a set of data values.

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Standard deviation is a statistical measure that quantifies the amount of variability or dispersion in a set of data values.

Number indicating how widely spread out possible values are from the mean. The correct answer is D.

It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. Standard deviation provides information about how closely the data points are clustered around the mean, and a larger standard deviation indicates a greater dispersion or variability of the data points from the mean. In other words, it is a measure of how widely the possible values are distributed around the mean.

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When x = 6, y = 4. If y is proportional to x, what is the value for y when x = 9?

Answers

Answer:

y=6

Step-by-step explanation:

We can solve this problem by simply using a proportion.

When x=6, y=4. The ratio of x to y can be written as  [tex]\frac{x}{y}[/tex].

If we substitute the values, we will get [tex]\frac{6}{4}[/tex], and this can be reduced to [tex]\frac{3}{2}[/tex].

We don't know what y is when x=9, so let's leave y alone and write: [tex]\frac{9}{y}[/tex]

Set up a proportion and solve. We have:

[tex]\frac{6}{4} =\frac{9}{y} =\\6y=4*9=\\6y=36=\\y=6[/tex]

Thus, when x=9, y=6.

Please help!! URGENT!! I don’t understand

Answers

Answer: 14%

Step-by-step explanation:

Our formula is i=prt but we're trying to find the rate (r) so we'll rearrange it to become r=i/pt.

i = $245

p = $7000

t = 3/12= 0.25 years

[tex]r=\frac{245}{(7000)(0.25)} \\r = 0.14[/tex]

The An eclateral triangular pyramid has a set height of 13 trenger base has a perimeter of 4.8 inches and an area of 13 spre me Find the surface area of the pyramid. C 1-0​

Answers

The surface area of the pyramid is 44.2 square inches, which is closest to option (C) 44.2.

Surface area calculation.

To solve the problem, we can start by using the formula for the area of an equilateral triangle to find the length of one side of the base. Let s be the length of one side of the base, then we have:

Area of the base = (sqrt(3)/4) * s^2 = 13

Solving for s, we get:

s^2 = (4 * 13) / sqrt(3)

s = 8.0

Therefore, the perimeter of the base is 3 * s = 24 inches

Next, we can use the formula for the surface area of a pyramid to find the surface area of the entire pyramid. Let B be the area of the base, then we have:

Surface area = B + (1/2) * P * h

where P is the perimeter of the base and h is the height of the pyramid.

Substituting the given values, we get:

Surface area = 13 + (1/2) * 4.8 * 13

Surface area = 13 + 31.2

Surface area = 44.2 square inches

Therefore, the surface area of the pyramid is 44.2 square inches, which is closest to option (C) 44.2.

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Cheyenne has a part-time job at which she gets paid by the hour. The table below shows how much money Cheyenne can earn for working various amounts of hours.

How many hours, h, must Cheyenne work to earn $56.00?

Answers

Answer:

Can i see the full answer so I can help you?

Step-by-step explanation:

7 hours
Cheyenne is making $8 an hour based on the chart.
8x4 =32
8x5= 40
8x7=56
8x10=80
8x12=96
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