the acf for the gap sales is shown above. there is clear evidence in the acf that group of answer choices there is a strong trend in the data. there is no seasonality in the data. the data is too strongly correlated to identify trend. the data is stationary. gap sales have fallen in the last 12 periods.

Answers

Answer 1

Based on the given information about the acf for the gap sales. The statement "there is clear evidence in the acf that there is a strong trend in the data" is correct. so, the correct option is A).

The given statement is correct as the autocorrelation function (ACF) measures the correlation between a time series and its lagged values. If there is a strong trend in the data, it will be reflected in the ACF as a significant correlation at lag 1 and beyond. Therefore, a clear evidence of a strong trend in the data can be observed in the ACF.

However, the other answer choices cannot be determined from the information provided. There is no information provided regarding seasonality or the stationarity of the data, and the information provided is not sufficient to determine whether the data has fallen in the last 12 periods. so, the correct answer is A).

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The Acf For The Gap Sales Is Shown Above. There Is Clear Evidence In The Acf That Group Of Answer Choices

Related Questions

State the most specific name for each figure

PLS HELP

Answers

1.) parallelogram

2.) trapezoid

3.) kite

4.) parallelogram

What are the qualities of a parallelogram?

The parallelogram is a type of quadrilateral that has the following unique properties such as:

The opposite sides are parallel and equal.The opposite angles are equal.The consecutive or adjacent angles are supplementary.If any one of the angles is a right angle, then all the other angles will be at right angle.The two diagonals bisect each other.

The kite is also a type of quadrilateral that has two pairs of adjacent equal sides with a pair of opposite angles that are equal.

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highway accidents: dui the u.s. department of transportation, national highway traffic safety administration, reported that 77% of all fatally injured automobile drivers were intoxicated. a random sample of 27 records of automobile driver fatalities in kit carson county, colorado, showed that section 8.3 testing a proportion p 479 15 involved an intoxicated driver. do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in kit carson county? use a 5 0.01.

Answers

The highway accident evidence to reject the null hypothesis that the population proportion is equal to 77%.

No, these data do not indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County.

The sample proportion of 15 out of 27 is 56.25%, which is not significantly different from the population proportion of 77%.

The p value for this test is 0.788, which is greater than the alpha level of 0.01.

The p value of this test indicates that the sample proportion of 15 out of 27 (56.25%) is not significantly different from the population proportion of 77%.

This means that there is not enough evidence to reject the null hypothesis that the population proportion is equal to 77%.

The p value of 0.788 is greater than the alpha level of 0.01, meaning that the results of this test are not statistically significant enough to support the alternative hypothesis that the population proportion is less than 77%.

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Please help ASAP!
A clinical trial is performed to test a new drug designed to lower blood sodium levels. One hundred fifty participants are randomly assigned to take the new drug, and 150 participants are randomly assigned to take a placebo. After 6 months of treatment, blood sodium levels are measured and compared to the starting levels. For those who took the new drug, the blood sodium levels had a mean reduction of 27 points with a standard deviation of 5.2, while for those who took the placebo, the blood sodium levels showed a mean reduction of 22 points with a standard deviation of 3.9. Assuming the standard deviations are true for the entire population, calculate 90% confidence intervals and evaluate whether there is evidence the new drug is working.

A: The interval for the new drug is from 26.168 to 27.832 points. The interval for the placebo is from 21.376 to 22.624 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is working.
B: The interval for the new drug is from 26.302 to 27.698 points. The interval for the placebo is from 21.476 to 22.524 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is not working.
C: The interval for the new drug is from 26.302 to 27.698 points. The interval for the placebo is from 21.476 to 22.524 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is working.
D: The interval for the new drug is from 26.168 to 27.832 points. The interval for the placebo is from 21.376 to 22.624 points. Since the interval for the new drug lies above the interval for the placebo, there is evidence that the drug is not working.

Answers

The answer to the question is C

Evaluate: a = 3, b = 6, c = 4 a •b + c

Answers

Answer:

Step-by-step explanation:(3)(6)+(4) = 18+4= 22

Find the value of x in the following equation
3.6(2x+5)=7.2x+18

Answers

Answer
X = 1
Hope it helps

you want to display data on average number of points scored by the top 5 uci basketball players in the history of uci. which type of graph would be best?

Answers

A The histogram is the best graph showing the average scores of 5 UCI volleyball teams in UCI history. Because it allows us to divide the data into as many or as few groups as we want and clarify the comparison between them.

We would like to view the average points data of the top 5 UCI basketball players in UCI history. There are two types of charts used to present data. The first is a histogram and the second is a scatterplot. We have to decide which picture is the best. Now, as we know, scatter charts are used to plot observations based on points to show the relationship between two data sets. A histogram is a type of bar chart in which all values are divided. Divides the range of results in the data into classes or groups. It can help identify outliers or gaps in the data. After discussing the features of the two graphs, shows the average score of 5 UCI basketball players in UCI history, the histogram is the best choice here because it allows us to divide and share the difference between clearly.

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complete question:

The above figure complete the question..

you want to display data on average number of points scored by the top 5 uci basketball players in the history of uci. which type of graph would be best?

I WILL GIVE BRAINLIEST TO THE BEST/CORRECT ANSWER


Point U is located at (5,2) on the coordinate plane. Point U is reflected over the y-axis to create point U'. Point U' is the reflected over the x-axis to create point U". What ordered pair describes the location of U"?

Answers

Answer:

(-5,-4)

Step-by-step explanation:

i think this is correct because i tried to solve in paper.

Is the following a statistical question?
How tall are buildings in Manhattan?

PLEASE HELP,I HAVE A BAD MEMORY!!

Answers

Yes, "How tall are buildings in Manhattan?" is a statistical question.

A statistical question is a question that can be answered by collecting and analyzing a set of data. In this case, the question asks about the heights of buildings in Manhattan, which can be answered by collecting data on the heights of a representative sample of buildings in that area and analyzing the data to determine the range, average, and distribution of building heights.

Statistical questions are different from non-statistical questions, which can be answered with a single piece of information or a simple fact. For example, "What is the capital of France?" is a non-statistical question that can be answered with a single piece of information (Paris).

Answer:

at least 115 feet (35m)

Step-by-step explanation:

In circle C, FG and FE are tangent segments, m
Choose the two answers that represent the angle measures of the central and circumscribed angles.

Answers

The angle measures of the central angle GFE and the circumscribed angle GCE in circle C are 83° and 79° respectively.

What is angle?

Angle is a geometric term used to describe the measure between two lines or surfaces that intersect each other. It is measured in degrees, and is typically represented by the Greek letter θ (theta). Angles can be acute, obtuse, right, reflex, or straight. Acute angles are angles that are less than 90°, obtuse angles are angles that are greater than 90°, and right angles are angles that measure exactly 90°. Reflex angles are angles that measure greater than 180°, and straight angles measure exactly 180°.

The two correct answers are 83° and 79°. The angle measure of the central angle GFE is 3x + 11. Therefore, 3x + 11 = 83°, and x = 26. The angle measure of the circumscribed angle GCE is 5x - 23. Therefore, 5x - 23 = 79°, and x = 26. As both equations have the same value for x, the two angle measures are 83° and 79°.

In conclusion, the angle measures of the central angle GFE and the circumscribed angle GCE in circle C are 83° and 79° respectively.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

Answer:

The radius of the circle is 3 units.

The center of the circle lies on the y-axis.

Step-by-step explanation:

The circle equation is :

x² + (y-1)² = 3²

center: (0, 1)  The center of the circle lies on the y-axis.

Radius:  3     The radius of the circle is 3 units.

How many 6-digit numbers can be found using the digits from 1 to 6 if the number is less than 400000 and the even digits occupy the even places in descending order, answer should be 4

Answers

Answer

Step-by-step explanation:

Answer

Answer step-by-step explanation

Please help me with this homework

Answers

Answer:

14

Step-by-step explanation:

c = 2[tex]\pi r[/tex]

c = 2[tex]\pi[/tex]7

x = 14[tex]\pi[/tex]

Helping in the name of Jesus.

Calculate the area of each of the polygons with the following dimensions.

1. Triangles

B = 4in, H = 5in
B = 6ft, H= 10ft
B = 12m, H = 15m
Application: Sandy is making tablecloths in the shape of triangles. She needs to make two triangle tablecloths for one table. The triangles have base of 2 ft and a height of 4 ft. What is the total area of the triangle tablecloths for one table?

2. Parallelogram (H = height) and (B = base)

H = 9in, B = 6in
H = 5 ft, B = 2ft
H = 7yds, B = 3yds
Application: If a parallelogram has a base of 13 mm and an area of 78 mm2 what is the height?
Hint: Use the formula. Substitute the given values and then solve as an equation.

3. Rectangle (L = length) and (w = width)

rect. DKIF with L = 8 ft and w = 6 ft
rect. AOPU with L = 13 ft and w = 5 ft
Application: Charles is paining the den. Two walls are 9 ft high and 15 ft long. The other two walls are 8 ft high and 10 ft long. Charles bought one gallon of paint that will cover 440 square feet of wall space. Does he have enough paint? Explain.

4. Rhombus ( d1 = diagonal 1) (d2 = diagonal 2)

rhombus with d1 = 12 yds and d2 = 12 yds
rhombus with d1 = 10 ft and d2 = 25 ft
rhombus with d1 = 16 in and d2 = 22 in
Application: a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?

5. Trapezoid ( b1 = base 1) (b2 = base 2) (H = height)

b1 = 6 ft, b2 = 7 ft, H = 10 ft
b1 = 5 yds, b2 = 8 yds, H = 4 yds
c. b1 = 9 in, b2 = 11 in, H = 13 in
d. Application: The two bases of a trapezoid = 16 km and its area = 32 km2. What is its height?

Answers

The total area of two triangle tablecloths for one table = 8ft²,

height =  6mm,

The total area of the den = 430ft²,

height of the rhombus =  12ft,

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Triangles:

a) Area of triangle = 1/2 * base * height = 1/2 * 4in * 5in = 10in²

b) Area of triangle = 1/2 * base * height = 1/2 * 6ft * 10ft = 30ft²

c) Area of triangle = 1/2 * base * height = 1/2 * 12m * 15m = 90m²

Total area of two triangle tablecloths for one table = 2 * 1/2 * 2ft * 4ft = 8ft²

Parallelogram:

a) Area of parallelogram = base * height = 6in * 9in = 54in²

b) Area of parallelogram = base * height = 2ft * 5ft = 10ft²

c) Area of parallelogram = base * height = 3yds * 7yds = 21yds²

height = Area/base = 78mm²/13mm = 6mm

Rectangle:

a) Area of rectangle = length * width = 8ft * 6ft = 48ft²

b) Area of rectangle = length * width = 13ft * 5ft = 65ft²

Total area of the den = (2 * 9ft * 15ft) + (2 * 8ft * 10ft) = 270ft²+ 160ft² = 430ft². Charles has enough paint because one gallon of paint will cover 440 square feet of wall space.

Rhombus:

a) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 12yds * 12yds = 72yds²

b) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 10ft * 25ft = 125ft²

c) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 16in * 22in = 176in²

height of the rhombus = 2(area/diagonal1) = 2(72ft²/12ft) = 12ft

Trapezoid:

a) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (6ft + 7ft) * 10ft = 65ft²

b) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (5yds + 8yds) * 4yds = 26yds²

c) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (9in + 11in) * 13in = 130.5in²

d) Height of trapezoid = 2(area/(base1 + base2)) = 2(32km²/16km) = 4km

Hence, the total area of two triangle tablecloths for one table = 8ft²,

height =  6mm,

The total area of the den = 430ft²,

height of the rhombus =  12ft,

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Determine the number of real solutions of the system
y=X^2 + 8
y= X + 15

Answers

Answer:

2

Step-by-step explanation:

Graphing the system shows that the lines intersect twice, meaning there are two real solutions.

Only write the number.

Find VZ

Answers

Answer:

VZ = 72

XW = 48VW = 24YZ = 36VZ = ?

FINDING VZ:

XW / VW = VZ / YZ

48 / 24 = VZ / 36

*Simplify:

48 / 24 = VZ / 362 = VZ / 36

*Multiply both sides by 36:

2 × 36 = VZ / 36  × 3672 = VZ

I don't know how's that even possible, but I did the same formula and solutions the pictures below show.

Between which two integers does 7/3 lie Answer A 4 and 5 Answer B 1 and 2 Answer C 2 and 3 Answer D 3 and 4

Answers

We can conclude that 7/3 lies between the integers 2 and 3. So, correct option is C,

To determine between which two integers 7/3 lies, we can use division and rounding.

Dividing 7 by 3 gives 2 with a remainder of 1. Therefore, we can express 7/3 as the sum of 2 and a fraction:

7/3 = 2 + 1/3

Since the fraction 1/3 is less than 1/2, we can round down to 2. Therefore, we can conclude that 7/3 lies between the integers 2 and 3.

This question requires us to determine between which two integers the fraction 7/3 lies. One approach to solving this is to perform long division, which gives us a quotient of 2 with a remainder of 1. We can express 7/3 as the sum of the quotient and the fraction 1/3. Since 1/3 is less than 1/2, we round down to the nearest integer, which in this case is 2.

Answer C, 2 and 3, is the correct answer.

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Find the closing cost, to the nearest cent: house value of $89,548, two points, attorney's fees $324, title fees $105.

a 4,439. 92

b 2,219. 96

c 2,114. 96

d 1324. 48

Answers

If the house value of $89,548 and two points, attorney's fees $324, title fees $105, then closing cost is option (b) $2,219.96

Closing costs are fees associated with the purchase or refinance of a property that are paid at the closing of the transaction.

To calculate the closing cost, we need to add up all the fees associated with the purchase of the house.

First, we need to calculate the cost of the points. Two points on a house value of $89,548 would be

2 x $89,548 x 0.01 = $1,790.96

Next, we need to add the attorney's fees and title fees

$1,790.96 + $324 + $105 = $2,219.96

Therefore, the correct option is (b) $2,219.96

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g you are dealt a hand of three cards from a standard deck of 52 cards. a. how many different combinations of 3 cards can you possibly have? b. how many different combinations of 3 aces can you possibly have?

Answers

a) There are 22,100 possible combinations of 3 cards that can be drawn from a standard deck of 52 cards.

b) There are only 4 possible combinations of 3 aces that can be drawn from a standard deck of 52 cards.

How to find the possible combinations of 3 cards?

a) The number of different combinations of 3 cards from a deck of 52 cards is given by the combination formula:

C(52, 3) = 52! / (3! * (52-3)!) = 22,100

Therefore, there are 22,100 possible combinations of 3 cards from a deck of 52 cards.

How to find the possible combinations of 3 aces?

b) Since there are 4 aces in a standard deck of 52 cards, the number of different combinations of 3 aces is given by the combination formula:

C(4, 3) = 4! / (3! * (4-3)!) = 4

Therefore, there are only 4 possible combinations of 3 aces from a deck of 52 cards.

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A company finds that on average, they use 43 minutes for each meeting.

An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.
If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?

Answers

The largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information is 220.

How to plot a graph?

Plotting a graph involves visually representing numerical data using a coordinate system. The following steps can be used as a general guide to plot a graph:

1. Determine the type of graph needed: There are different types of graphs such as line graphs, bar graphs, pie charts, etc. The type of graph you choose will depend on the nature of the data being represented.

2. Choose a scale: This involves selecting appropriate values for the x and y-axes of the graph. The scale should allow the data to be displayed clearly, and evenly spaced marks should be used to represent values.

3. Plot the data: Mark the points or bars representing the data on the graph, using the selected scale.

4. Label the axes: Label both the x and y-axes with a description of what each represents, and include units of measurement where applicable.

5. Title the graph: Give the graph a descriptive title that indicates the purpose of the graph.

6. Add any necessary details: Additional details such as a legend, data source, or notes can be included to provide further information about the data or the graph.

7. Review and revise: Check the graph to ensure that it accurately represents the data and is visually clear. Make any necessary revisions to improve the graph's effectiveness.

To determine the largest value on the T-axis of the graph, we need to first find the maximum possible value of T for the given information.

Since the average time used for each meeting is 43 minutes, the total time used for m meetings can be expressed as T = 43m.

To find the maximum value of T for 5 meetings, we substitute m = 5 into the equation:

T = 43(5) = 215

Therefore, the largest value on the T-axis should be slightly larger than 215 to provide a little bit of extra space on the graph.

If the employee counts by 10's, a good choice for the largest value on the T-axis would be 220. This would allow for the values of T for 1 to 5 meetings to be evenly spaced on the graph, with each mark on the T-axis representing 10 minutes of time.

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jackie converted the fallowing decimals to fractions.


explain plisssss

Answers

Answer:

Step-by-step explanation:

To convert a fraction to a decimal, you divide the numerator by the denominator. The line in the middle of a fraction is essentially a large division sign.

Let's check Jackie's work

1/200 = 0.005

3/10 = 0.3

7/8 = 0.875

4/5 = 0.8

Jackie listed 7/8 as 0.625, which is incorrect. 7/8 is 0.875

So, 0.625 is your answer.

if cov(z,x) ≠ 0, then z and x are correlated. a. true b. false

Answers

True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. A function has the ability to preserve its shape even after a linear transformation of the input variables. The units of covariance are determined by multiplying the units of the two variables.

True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.

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If cov(z, x) ≠ 0, then z and x are correlated. therefore, the given statement is true. Your answer is: a. True

Covariance (cov) is a measure of how two variables change together.

If the covariance is not equal to 0, it means that there is some correlation between the two variables, z and x.

The correlation can be either positive or negative depending on the direction of the relationship between z and x.

If the covariance between two variables, z and x, is not equal to zero, then it means that there is a linear relationship

between the two variables.

In other words, when one variable increases or decreases, the other variable tends to increase or decrease as well, indicating a correlation between them.

Therefore, if the covariance between z and x is not zero, it implies that z and x are correlated.

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Gia made a garden stone shaped like a regular octagon with the dimensions shown. Find the area of the octagon.
5.5 in.
4.6 in.that is the area of the octagon but what is the answer???

Answers

Area of the octagon is 85.5591 in².

What is octagon?

The fundamental characteristics of a regular octagon. There are 8 interior angles and 8 sides. Both the length of each side and the measurement of each angle are equal. A regular octagon has a total of 20 diagonals. Each inner angle is 135 degrees in length. This means that (135 x 8) = 1080 degrees is the total of all interior angles. An octagon is a polygon that has 8 sides. An octagon is referred to as a regular octagon if all 8 of its sides are equal in length and all of its angles are equal.

Area of rectangular octagon = 2a² (1 + √2) , where a is side

= 2 * (5.5)² ( 1+√2)

= 2 * 30.25(1+√2)

= 60.5 (1+√2)

= 60.25(1 + 1.4142)

= 60.25 * 2.4142

= 85.5591 in²

Therefore, Area of the octagon is 85.5591 in².

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write an equation of the parabola that passes through the point (-5,2) and has vertex (7,-2)

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=7\\ k=-2\\ \end{cases}\implies y=a(~~x-7~~)^2 + (-2)\hspace{4em}\textit{we also know that} \begin{cases} x=-5\\ y=2 \end{cases} \\\\\\ 2=a(-5-7)^2-2\implies 4=a(-12)^2\implies 4=144a\implies \cfrac{4}{144}=a \\\\\\ \cfrac{1}{36}=a\hspace{9em} {\Large \begin{array}{llll} y=\cfrac{1}{36}(x-7)^2-2 \end{array}}[/tex]

Check the picture below.

To help determine what types of clubs to offer at harding middle school the principal surveyed fifty 8th grades. Does the sampl fairly represent the population ? explain

Answers

To determine if the sample fairly represents the population, we need to consider whether the sample is representative and whether there is any bias present in the sampling process.

If the principal surveyed fifty 8th graders in a way that ensures that each 8th grader in the population has an equal chance of being selected, then the sample can be considered representative. This means that the sample accurately reflects the characteristics of the population, and any conclusions drawn from the sample can be applied to the population.

However, if the sampling process was biased in some way, the sample may not be representative of the population. For example, if the principal only surveyed 8th graders in one class or in one particular group, the sample may not be representative of the entire 8th-grade population at Harding Middle School. In this case, any conclusions drawn from the sample may not accurately reflect the entire population.

Therefore, the key factor in determining whether the sample fairly represents the population is the sampling method used. If the sampling method is random and unbiased, then the sample can be considered representative of the population.

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Solve the triangle
A
B
C

Answers

The sum of the three interior angles is 180°
So; 180-58-41

A= 81°

Using law of sines to find side b and c; A-S-A

a/sinA = b/sinB = c/sinC Given side a= 10

10/sin(81°) = b/sin(58°) = c/sin(41°)

First side b;

10/sin(81°) b/sin(58°)

b= 10sin(58°) / sin(81°)

side b = 8.6

side c

10/sin(81°) c/sin(41°)

c= 10sin41° / sin81°

side c= 6.6



The area of a semicircle is 1. 2717 square meters. What is the semicircles diameter

Answers

The diameter of the semicircle for the given area of the semicircle 1. 2717 square meters is equal to 1.8 meters.

Area of a semicircle = 1. 2717 square meters

The area of a semicircle is given by the formula,

A = πr^2 / 2

where A is the area

And r is the radius of the semicircle.

Rearrange the formula to solve for r,

r = √(2A/π)

Substituting the given value of A = 1.2717 square meters into this formula, we get,

⇒ r = √(2 × 1.2717 / π)

⇒ r = 0.9 meters

Since the diameter of a semicircle is twice the radius,

The diameter of this semicircle is equal to,

d = 2r

  = 2 × 0.9

   = 1.8 meters

Therefore, the diameter of the semicircle is equal to 1.8meters.

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Correct 0.00025 to one Significant figure​

Answers

Answer:

0.0003

Step-by-step explanation:

u don't count the zeros as a significant figure

5 rounds 2 up to 3

The volume of a box in the shape of a rectangular prism is 219.375 in³. The height is is 6.5 in. and the length is 11.25 in. Determine the width, in inches, of the box.​

Answers

The width of the box is approximately 3 inches.

What is known by the term shape?

A shape is a geometric figure that can be described by its size, orientation, and position in space. Shapes can be two-dimensional, such as squares, circles, and triangles, or three-dimensional, such as cubes, spheres, and pyramids.

What is rectangular prism?

A rectangular prism is a three-dimensional shape that has six rectangular faces. It is also known as a rectangular parallelepiped or a cuboid. The opposite faces of a rectangular prism have the same size and shape, and the edges where the faces meet are all perpendicular to each other. The volume of a rectangular prism is calculated by multiplying its length, width, and height, while its surface area is calculated by adding up the areas of all six faces.

volume of a rectangular prism:

volume = length * width * height

We know the volume is 219.375 in³, the height is 6.5 in, and the length is 11.25 in. Let's substitute these values into the formula and solve for the width:

219.375 = 11.25 * width * 6.5

Dividing both sides by (11.25 * 6.5), we get:

width = 219.375 / (11.25 * 6.5) ≈ 3

Therefore, the width of the box is approximately 3 inches.

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3. In raising a 7000 N motorcycle with a pulley system, the workers note that for every 3 m of rope pulled down- ward, the piano rises 0. 3 m. Show that 700 N is required to lift the motorcycle

Answers

If workers note that for every "3 m" of rope pulled down-ward, the piano rises 0.3 m, then we have shown that 700 N is required force to lift the motorcycle.

The term "Mechanical advantage" (MA) is defined as ratio of "output-force" to "input-force" in a machine.

In this case, the output force is the weight of the motorcycle (7000 N) and the input force is the force applied to pull the rope downward.

We use the formula for mechanical advantage in a pulley system, which is given by:

⇒ MA = (distance moved by the effort) / (distance moved by the load),

In this case, the distance moved by the effort is 3 m, and

The distance moved by the load is 0.3 m,

Substituting the values,

We get,

⇒ MA = 3/0.3,

⇒ MA = 10,

So, mechanical advantage of "pulley-system" is 10.

Now, we use mechanical advantage to calculate the required force to lift the motorcycle.

Since mechanical advantage is defined as the ratio of output force to input force, we can rearrange the formula as:

⇒ Input force = (Output force)/(Mechanical advantage),

Substituting values for "output-force" as 7000 N and "mechanical-advantage" as 10,

We get,

⇒ Input force = 7000/10,

⇒ 700 N,

Therefore, the required force to lift motorcycle is 700 N.

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Find the point that partitions segment AB in a 2:1 ratio when A(1,3)B(7,8)

Answers

Answer:

X2 - X1 = 7 - 1 = 6

Y2 - Y1 = 8 - 3 = 5

L = (6^2 + 5^2)^1/2 = 7.81

2/3 L = 5.21      length of segment

Tan θ = 5 / 6 = .833    slope of line

θ = 39.8 deg

5.21 * sin 39.8 = 3.34

5.21 * cos = 39.8 = 4.00        gives length of line segments

x2 = 1 + 4 = 5      

y2 = 3 + 3.34 = 6.34

(5, 6.34) = point 2/3 up the line

Check (length of line)

[(5 - 1)^2 + (6.34 - 3)^2]^1/2 =

l = 5.21      correct length for line segmet

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