The table below shows the number of hours some college athletes in two states spend on indoor sports each week:State A 7 9 5 4 25 21 6 6 8
State B 14 12 10 13 15 14 11 15 16

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points

Answers

Answer 1

Answer: Arrange the data set in ascending order:
State A:   4,   5, 6, 6, 7, 8,   9, 21, 25
State B: 10, 11, 12, 13, 14, 14, 15, 15, 16

5 number summary:
State A State B
minimum 4 10
Q1 5.5 11.5
median    7 14
Q3 15 15
maximum 25   16
IQR 9.5 3.5

The box plot are not symmetric. The distance of the median from each Q1 and Q3 should be equal for the box plot to be symmetric.

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If y=7.5 when x=0.5, find y when x=-0.3

Answers

Y= -4.5

7.5/0.5=15

15*(-0.3)= -4.5

-4.5/-0.3=15

Final answer:

To find the value of y when x = -0.3, substitute x = -0.3 into the equation and solve for y. The value of y is 3200.

Explanation:

To find the value of y when x = -0.3, we can use the given equation:

Y = 400+ 0.85(Y-0.25Y) + 300 + 200 +500 -0.1(Y-0.25Y)

Substituting x = -0.3 into the equation, we can solve for y.

Y = 400+ 0.85(Y-0.25Y) + 300 + 200 +500 -0.1(Y-0.25Y)
Y = 1400+ 0.6375Y - 0.075Y
0.4375Y = 1400
Y = 3200

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Solve for x: |x|-8=-5

Answers

|x| - 8 = -5
+ 8 + 8
|x| = 3
x = ±3
x = 3 or x = -3

Jason stop at a park at 35 min then left at 100min how long did he stay for

Answers

He stayed for 65 minutes 100-35=65

He stayed for at least 65 minutes

Please hurry Suppose Ms. Kraus is 1.75 m tall. When her shadow is is 1 m, how long would the shadow be of a 265 m tall building? (Make a sketch to help solve the problem) a. 175 m c. 265 m b. 151 m d. 100 m

Answers

The shadow of a 265m long building would be b. 151 m

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Ms. Kraus is 1.75 m tall. When her shadow is 1 m.

Let the shadow of a 265 m tall building be 'x' m.

Therefore by the ratio proportion method.

1.75 : 1 : : 265 : x.

1.75/1 = 265/x.

1.75x = 265.

x = 265/1.75.

x = 151.42 Or 151 m.

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Answer:

b. 151m

Step-by-step explanation:

Step-by-step explanation:

That's the right answer on edge

Which answer makes the most Sense

Answers

either 1st or 3rd in my opinion

Given a mean of 43.8 and a standard deviation of 8.7, what is the z-score of the value 40 rounded to the nearest tenth?

Answers

For the answer to the question above,
Sample mean is given by,

x = (1/n)∑x˅i .... ˅ means sub

x = (1/5)(60 + 40 + 35 + 45 + 39)
= 43.8

z-score is given by,

z = (X - μ)/σ .... μ is population mean, σ is the standard deviation

z = (43.8 - 43.8)/8.7
= 0
so the answer is zero
I hope my answer helped you.

Answer:

-.4

Step-by-step explanation:

z score = value-mean / standard deviation

z score = 40-43.8 / 8.7

-.436 = 40-43.8 / 8.7

-.436 to nearest 10th -.4

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