Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?

Answers

Answer 1

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905


Related Questions

Ruby visiting San FranciscoFrom her hotel walks 1 block west and 2 blocks south to a coffee shop. Then she walks 6 blocks east and 5 blocks south to a museum.Where is the museum relation to her hotel?

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According to graph museum is 5 blocks East and 7 blocks East from Ruby’s hotel.

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Answers

Answer:

y=-2x-4

Step-by-step explanation:

y-y1=m(x-x1)

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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The answer is 6 minutes

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Steps:

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Step-by-step explanation:

Given in the figure below, find the values of X and Z.

Answers

Answer:

x = 6 , z = 79

Step-by-step explanation:

(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is

8x + 53 + 6x + 43 = 180 , that is

14x + 96 = 180 ( subtract 96 from both sides )

14x = 84 (divide both sides by 14 )

x = 6

Then

6x + 43 = 6(6) + 43 = 36 + 43 = 79

z and 79 are vertical angles and congruent , then

z = 79

Answer:

x = 6

z = 79

Step-by-step explanation:

We know that angles on a straight line add up to 180.

With this in mind:

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For z:

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Another approach using the property where opposite angles are equal:

(6x+43) = z79 = z

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Answers

Answer:

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Step-by-step explanation:

An airplane leaves Edmonton International Airport and Flies south to Phoenix Arizona. The flight is 6h in duration and distance is 2800Km

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Answers

2800/6=A hope it helps

a local taxi company charges a base fare of $3.20. the taxi company charges $0.40 for every minute the taxi is in service

Answers

Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.

Step-by-step explanation:

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Answers

Oh what the heck UHHHHH

Answer:

wow that is so cool how do you do that

Step-by-step explanation:

Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2

Answers

Answer:

(2,-2)

Step-by-step explanation:

please help!! need answers ASAP

Answers

Answer:

10 minutes

Step-by-step explanation:

I'm not sure if im correct, so im sorry if im wrong.

pls help me out!!! ((#4))

Answers

Pythagorean Therom
a^2 + b^2 = c^2
5^2 +b^2 = 7^2
25=b^2 = 49

49-25=b^2

49-25=14

b^2=24

b=sqrt24

sqrt24=4.89898

Need help with this!!​

Answers

Answer:

is it d?

Step-by-step explanation:

the diameter or a circle is 2 yards. What is the circles circumference
use 3.14 for π​

Answers

Answer:

diameter = 6.28 yards

Step-by-step explanation:

2 x 3.14 = 6.28

2 numbers a and b vary directly if ab =k, k is a constant is it correct​

Answers

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

URGENT I copy and pasted and clicked the link that is going around and I was redirected however I did not download the file can someone give me answers on what will happen to my computer?

Answers

Answer: A virus or trojan will appear because my cousin actually click on the link and downloaded it and it damaged her device so don't download it those are bots who tell you to click the file or something so don't download it or your computer will be damaged

Step-by-step explanation:

Choose Yes or No to tell if the fraction 58 will make each equation true. 815−□=37 Yes □−516=58 No 78−12=□ No 34−18=□ Yes

Answers

Answer:

815−58=37  False

58−516=58 False

78−12=58 False

34−18=58 False

Step-by-step explanation:

i just did them all on my algebra calculator and they all said false. brainliest please?

Do the ratios 6:4 and 4:3 form a proportion

Answers

Answer:

no

Step-by-step explanation:

A rectangular prism has a volume of 750 cubic millimeters. Its length is 15 millimeters, and its width is 10 millimeters. What is its height?

50 mm
5 mm
6 mm
60 mm

Answers

Answer:

5mm

Step-by-step explanation:

The answer is 5mm I think

Belinda went biking on Saturday and rode for 6\frac{4}{5} miles on Sunday she rode for \frac{2}{3} of the distance she rode on Sunday

Answers

Complete question :

Belinda went biking on Saturday and rode for 6 4/5 miles. On Sunday she rode for 2/3 of the distance she rode on Saturday. Write and solve an equation that will help you figure out how far Belinda rode on Sunday

Answer:

4.5333 miles

Step-by-step explanation:

Number of miles biked on Saturday = 6 4/5 miles

Miles on Sunday = 2/3 of miles biked on Saturday

To obtain the distance biked on Sunday :

Fraction of miles biked on Sunday * miles biked on Saturday

Miles biked on Sunday = 2/3 * 6 4/5

Miles biked on Sunday = 2/3 * 34/5

Miles biked on Sunday = (2 * 34) / (3 * 5) = 68/15 = 4.5333 miles

this is URGENT BESTIES

Answers

Answer:

675 [tex]ft^2[/tex]

Step-by-step explanation:

The radius is 15, so replace r in the formula with 15

[tex]A=\pi 15^2[/tex]

A = 225 pi

A = 675

(using 3 for pi, since they specified)

Answer: 675

Step-by-step explanation:

A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?

Answers

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Joel has a goal to practice his clarinet for 4 ½ hours per week. The list below shows the number of hours Joel has practiced so far this week.

Answers

Answer:

3/4 hours

Step-by-step explanation:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour. How many more hours does he need to practice this week to meet his goal?

Total practice hours per week = 4 1/2 hours = 9/2 hours

Hours of practice so far for the week:

Monday = 1 1/2 hours = 3/2 hours

Wednesday = 1 1/4 hours = 5/4 hours

Thursday = 1 hour

Total = Monday + Wednesday + Thursday

= 3/2 + 5/4 + 1

= (6+5+4)/4

= 15/4 hours

How many more hours does he need to practice this week to meet his goal

Hours needed to meet goal = Total practice hours per week - Hours of practice so far for the week

= 9/2 - 15/4

= (18-15)/4

= 3/4 hours

Hours needed to meet goal = 3/4 hours

Please help thank you.

Answers

Answer:

IM LOST!!!!

Step-by-step explanation: IM LOST!!!!

Other Questions
PLEASE HELP Escoge la opcin con la forma correcta del verbo volar en el futuro perfecto. Choose the option with the correct form of the verb volar in the future perfect.En el futuro, los carros quizs ________ en el aire o navegarn en ocano. habrn volado haban volado habremos volado habrs volado Before the Constitution was written, the United States was ______. The main issues addressed at the convention were ______ and _______, which was significant because _______. The process of ratifying the constitution involved _______ because _______. The author explains "_____," which supports the claim that _____. 15 points ASAP Do full-page ASAP PLZIf right I will mark it as a brain list Thank you have a great day 1.Nosotros (enviar) tarjetas.2.Mis amigos (gastar) bromas.3.Vosotros (preparar) una hoguera4.Yo (cantar) villancicos.5.Los chicos espaoles (escribir) cartas a los Reyes Magos.6.Mis amigos ingleses (prender) fuego al pudn de Navidad.8. Ayer Marta y Luis (perder) el autobs.9. Hace cinco aos (ganar/yo) una competicin de gimnasia.10. Vosotros no (asistir) a la ceremonia.11.Teresa de Calcuta (dedicar) su vida a los ms necesitados.12.Rafael Azcona (vivir) del ao 1926 al 2008. find the value of given expression[tex] \sqrt{56 - 7} [/tex] The Orinoco Delta in Caribbean SouthAmerica has many differentA. booksB. familiesC. seasons Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3) WILL GIVE BRAINLIESTwhich fossil fuel offers an infinite supply of fuel source?a.) natural gasb.) coalc.) petroleum d.) all known fossil fuels are finite In what lasting ways has the use of the camel impact the world divide 405 in the ratio 4:11 A car can travel 120 miles on 4 gallons of gasoline. How much gasoline will it need to go 510 miles? Does anyone have a good anime background for me to use? These below are what I have right now where does act 1 end in Singing in the Rain Picture study: Look at this picture and answer the following puestion1. What is the term used for the condition shown in the picture?2. Can you state two harmful effects resulting from it? PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! Find the exact ValueSin 75 - sin 15 usingsum-to product formula Apart from transport and food mention 5 otherentre prenourial opportunities that can deliverServices to users of the Gautrain (10) Iceland lies in the middle of the north _____ oceans ? Who sings the song Fake Love?? Hiiii :D !! I need help please :>