At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.

a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph

Answers

Answer 1

Answer:

b. 61 mph to 139 mph

Step-by-step explanation:

Chebyshev's theorem states that

For k> 1

1 - 1/k²

Where:

At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.

Mean (μ)= 100mph

Standard deviation (σ) = 13mph

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Hence:

μ - 3σ

100 - 3(13)

= 100 - 39

= 61 mph

μ + 3σ

= 100 + 3(13)

= 100 + 39

= 139 mph

Therefore, the interval is between 61 mph to 139 mph. Option b is correct


Related Questions

Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person of a cup of chocolate mousse, how many people can she serve? 30 people people 10 people people

Answers

The number of people she can serve is 10 people.

She made 10 cups of chocolate mousse for dessert.

Her plan was to serve each person of a cup of chocolate mousse.

This means she will serve one person a cup of the chocolate mousse for dessert.

The number of people she will serve can be calculated with the following proportion.

let

x = number of people she can serve

Recall each person must get one

Proportional relationship10 / x = 1

cross multiply

x = 10

Therefore, the number of people she can serve is 10 people.

learn more on algebra here: https://brainly.com/question/690244

The expression 3x to the second power represents

Answers

Answer:

3x times 3x

Step-by-step explanation:

(y+3)=−34(x−4) find the point and the slope

Answers

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

x_1 and y_1 are the x and y coordinates of one point.m is the slope of the line.

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

please help me ......​

Answers

Answer:B

Step-by-step explanation:

Hi can you please help me thank youuu

Answers

sure thing. how may i assist you?

what is the center of the circle represented by this equation?
(x-7)2 + (y+4)2 =9

Answers

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]

Jessica’s bank is offering bear a loan with a stated rate of 4.90% interest. If the interest is compounded every two months what will Jessica pay. For interest l?

A. 4.90
B. 5.00
C. 5.01
D. 4.98

Answers

the answer is b.

hope this helps

Answer:

B no wrok needed

Step-by-step explanation:

What is y 6=2(y+2)





HELP ME PLEASE

Answers

3=y+2

-y=2-3

-y=-1

Answer is y=1

Which expression shows two times seven to the fifth?
A.
27 × 5
B.
2 × 75
C.
27 × 5
D.
2 × 7 × 5

Answers

Answer:

B.2 × 7^5

Step-by-step explanation:

two times seven to the fifth = 2 x 7^5

[tex]2 * 7 ^5[/tex]

[RevyBreeze]

which equation shows the correct relationship between the measures of the angles of the two triangles? ​

Answers

m<ABC=m<A'B'C'

Observe both triangles

<A=<A'<B=<B'<C=<C'So

<ABC=<A'B'C'

Kelsey buys 4 packages of juice boxes for a class party.
Each package has 2 rows with 5 juice boxes in each row.
How many juice boxes does Kelsey buy in all?

Answers

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second.
After 5 seconds, how much farther will Horse A have traveled?

Answers

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

The heights, in inches, of Olly’s brothers and sisters are listed below.
52,54,52,68,45
Which statement describes what would happen if Olly’s height, 56 inches, is added to the list?

Answers

Answer:

there would be a difference in mean

For each value of u, determine whether it is a solution to -28 = -4(u+5).
Is it a solution ?

Answers

If u= 2 it is solution

Solve this inequality for n.
14< n - 22

thanks ^^

Answers

Answer:

n = 36

Step-by-step explanation:

First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.

n - 22 + 22 < 14 + 22

n = 36

Which expression below has the LEAST value?
3.78 x 10
5.99 x 102
7.35 x 10-12
9.46 x 10-10

Answers

Answer: A

Step-by-step explanation:
Your answer is A.

Value of 3.78 x 10=37.8

Value of 5.99 x 102=699.98

value of 7.35 x 10-12=61.5

Value of 9.46 x 10-10=84.6.

Least value to greatest value

3.78 x 10=37.8 Least value

7.35 x 10 - 12=61.5 Sencond least value

9.46 x 10 - 10=84.6  Sencond greatest value

5.99 x 102=699.98  Greatest value

Hope it helps have a great day:)

is it possible to build a triangle with side lengths of 3,3 and 9?

Answers

Answer:

yes,it can ................

can you please help me

Answers

Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

(a-b) (c-d). Please give steps :c

Answers

Answer:

ac - ad - bc + bd

Step-by-step explanation:

There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.

I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.

An engineer draws a scale model of a building.
• The scale of the drawing is 1 inch = 2.5 feet.
• On the drawing, one wall is 30 inches long.

What is the length of the actual wall?

Answers

64.5 ft. That’s because 30 inch paper= 1 inch in real life. Multiple the 30 with the 2.5

Answer:

75 feet

Step-by-step explanation:

[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]

By using a proportion we can solve this problem.

By isolating x we get x = 2.5(30) so x = 75.

Thus if the wall is 30 in in the model it is 75 feet in actuality.

pet and lunch preferences​

Answers

The lines in the graph are pretty close to each other, the answer would be the second choice.

There is no association because distribution of lunch preference is approximately the same.

The linear function y= 13x represents the distance y (in miles) you have traveled after x hours during a 4-hour bicycle ride.
Which graph represents the situation?

Answers

Answer:

Step-by-step explanation:

Linear function representing the distance traveled 'y' in 'x' hours is,

y = 13x

Table for the points lying on the line is,

x               y

1               13

2             26

3             39

4             52

5             65

Since, these points are lying on the graph shown in the picture,

Given graph will be the answer.

Which relationships describe angles 1 and 2?
Select each correct answer.
1. supplementary angles
2. vertical angles
3. adjacent angles
4. complementary angles

Answers

Answer:

supplementary

Step-by-step explanation:

angle adds to 180 degrees

What is 1.75 divided by 5.25

Answers

Answer:

0.33333333333

1.75 / 5.25 equals: 0.33333333333

Step-by-step explanation:

The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

We have to given that;

The expression to solve.,

⇒ 1.75 divided by 5.25

Now, We can divide as;

⇒ 1.75 divided by 5.25

⇒ 1.75 / 5.25

⇒ 175/525

⇒ 0.33

Thus, The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

help idk how to solve will mark brainliest to first who answers

Answers

Answer:

y=-1.25x+45

Step-by-step explanation:

pick 2 points

(4,40) and (8, 35)

use y-y1=m(x-x1)

m=(35-40)/(8-4)=-1.25

y-40=-1.25(x-4)

y=-1.25x+5+40

y=-1.25x+45

1/4x+45
(i think.. lmk if this is right)

20-3+12/6x2=N
Helpppppp

Answers

Answer:

N=21

Step-by-step explanation:

20-3+12/6x2=N

20-3+2x2=N

20-3+4=N

21=N

N=21

20 - 3 + 12/6 x 2 = N
20 - 3 + 2 x 2 = N
20 - 3 + 4 = N
20 + 1 = N
21 = N

N = 21

A university's freshman class has 8900 students. 3471 of those students are majoring in Engineering. What percentage of the freshman class are Engineering majors?

Answers

Answer:

39%

Step-by-step explanation:

[tex]\frac{3471}{8900}[/tex] converted to a percentage = 39%, or 0.39 in decimal form.

what is the perimeter of square 3/4 inches

Answers

Answer:

p=4a

Step-by-step explanation:

Triangle ABC and triangle ACD are isosceles. Angle DAB = 86° and angle ADC = 58°. Find the value of x.​

Answers

The computation of triangle ABC and ACD which are both isosceles shows that the value of x will be 36°.

How to solve the triangle?

It should be noted that the sum of angles in a triangle is 180°. In this situation two of the three angles have been given.

Therefore, the value of the third angle will be:

86° + 58° + x = 180°

144° + x = 180°

x = 180° - 144°

x = 36°

In conclusion, x is 36°.

Learn more about triangles on:

https://brainly.com/question/17335144

Please help asap! I will gave brainlest!

Answers

270°

Explanation: if you look at the sin graph, you can see that it hits -1 when x = 270° (I attached a photo)
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