At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph

Answers

Answer 1

Answer:

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.

This means that [tex]\mu = 97, \sigma = 11[/tex]

What proportion of the player's serves are expected to be between 119 mph and 130 mph?

This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.

X = 130

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{130 - 97}{11}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

X = 119

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{119 - 97}{11}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

0.9987 - 0.9772 = 0.0215

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.


Related Questions

Can Someone Help Me Pleaseee. ?

Answers

Mark I am so I don’t want let you go with you to help please please let us do this what

Find the volume of a cylinder that has a height of 8 inches and a diameter of 14 inches.

Answers

Answer:

[tex]V=1232\ inches^3[/tex]

Step-by-step explanation:

Given that,

The height of a cylinder, h = 8 inches

The diameter of the cylinder, d = 14 inches

Radius, r = 7 inches

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\=\dfrac{22}{7}\times 7^2\times 8\\\\V=1232\ inches^3[/tex]

So, the volume of the cylinder is equal to [tex]1232\ inches^3[/tex].

Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

200$ because that’s the percent

What is the least common multiple of 2, 6, and 15?

Answers

Answer:

30

Step-by-step explanation:

Prime factorization of the numbers:

2 = 2 × 1

6 = 2 × 3

15 = 3 × 5

LCM(2, 6, 15)

= 2 × 3 × 5

= 30

b1=5,b2=7,h=4
need help plz

Answers

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?

Answers

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

Which type of graph would you choose to show the number of home runs hit by each player compared to the team
total?
histogram
line graph
bar graph
circle graph

Answers

Answer:

circle graph

Step-by-step explanation:

Answer:

BAR GRAPH

Step-by-step explanation:

represent 11 by 9 on a number line​

Answers

Answer:

Fraction mulitiplication adding its c

Step-by-step explanation:

Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operation in quadratic equations

Answers

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

25 Point Reward please help

Answers

Answer:

I think its 75

Step-by-step explanation:

I am honestly not very sure myself but I did really do this

PLS HELP I NEED THIS IN 3 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER

A triangle scarf has an area of ​​70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the triangle.

A parallelogram-shaped window has an area of ​​18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?

Answers

Answer:

Step-by-step explanation:

as Area of triangle is=1/2 base*height

Given

area=70

height=h=8

base lenght=?

put values in above formula for unkown

70=1/2 (8*b)

70=4*b

b=70/4

b=17.5 units

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answers

Answer:

3r1

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.

Help please and no links

Answers

Answer:

1) should be B

2) should be C

Step-by-step explanation:

Four boys compare the numbers on their football jerseys. Parker has the number 55. Nick has 49. Marshall has 57, and Leon has 59. Whose jersey has a prime number?

Answers

Leon- 59 is a prime number the rest are not

Answer:

Leon's jersey has a prime number

Step-by-step explanation:

100=x^2+y^2
0=3x+4y

This sentence is to fill characters

Answers

Answer:

1. 100=x^2+y^2 Look at the picture

2. 0=3x+4y Look at the picture

Step-by-step explanation: Hope this help :D

Mrs Tay baked 45 cookies.
She gave of them to her friends.
How many cookies did she give her friends?
45​

Answers

Answer:

15cookies

Step-by-step explanation:

Complete question:

Mrs Tay baked 45 cookies. She gave 1/3 of them to her friends. How many cookies did she give her friends?

Given the following

Total cookies = 45 cookies

Fraction of cookies given = 1/3

Amount she gave her friends= 1/3 * 45

Amount she gave her friends= 45/3

Amount she gave her friends= 15cookies

Hence she gave 15cookies to her friends

Is the first one correct and what are the ages?

Answers

For the first question (10a) I think 4x - 4 = 64 could also model the situation. For the ages, Ari is 17, Bill is 34, and Chris is 13. To check, we add them up and get a total of 64. Hope this helps.

Kurt is running for student senate. He designed the t-shirt logo for his campaign. The logo is made up of a square with 14 cm sides and four half circles. Use 3.14 for pi to approximate the area of the logo.

Answers

Answer:

......

Step-by-step explanation:

Pls help ASAP
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 135,000 citizens answered the question, how
many chose Fish, Cats, or Birds?
Snakes
6%
Hamsters
D
X
5
?
Birds
22%
Cats
239

Answers

Answer:

23,7777

Step-by-step explanation:

because 13% died

Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.

Answers

Answer:

B 1/2

Step-by-step explanation:

This is right

The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.

What is probability?

Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.

Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.

{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}

The no of sets having the sum of the number is odd=9

The no of sets having the product of the number is 6=3

The total number including the two conditions=3+9=12

Probability is found as;

P=12/18

P=2/3

The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.

Hence, option C is correct.

To learn more about probability, refer to the link;

https://brainly.com/question/795909

#SPJ2

The measure of an angle is 67º. What is the measure of its complementary angle?

Answers

Answer:

see explation

Step-by-step explanation:

# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.

so here,given angle is 67°

complementary angle of 67° = 90°- 67°

= 23°

please mark me as brainlist.


there is less customer to the organization. Use the six steps in decision making process to solve the
problem in the organization?​

Answers

Answer:

Step 1: Define Desired Outcomes and Actions. ...

Step 2: Endorse the Process. ...

Step 4: Develop Alternatives or Options. ...

Step 5: Evaluate, Select, and Refine Alternative or Option. ...

Step 6: Finalize Documentation and Evaluate the Process.

Step-by-step explanation:

Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.

Answers

Answer:

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

please help. i need this in by today at 12:00

Answers

Answer:

A

Step-by-step explanation:

P( music ) = number of students in music/ total number of students

P (music) = 4 / 14

= 2/7

The answer should be A, hope this helps :)

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence

Answers

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

the figure below is made of unit cubes

Answers

Answer:

Ok cool can i see the figure?

Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer

Answers

The answer is x=9 I’ve just did this problem once you take 4x+5 you’ll get 8

In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

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