The Slow Ball Challenge: There will be 9 pitches, each at 60 mph. Diego estimates that he will hit each individual pitch 95% of the time. If Diego can hit all 9 pitches, he will win a total of $45; otherwise he will lose $10. The Fast Ball Challenge: There will be 4 pitches, each at 90 mph. Diego estimates that he will hit each individual pitch 60% of the time. If Diego can hit all 4 pitches, he will win a total of $80; otherwise he will lose $20. Show Proof of which challenge he should play and why?

Answers

Answer 1

Answer:

He should play the Slow Ball Challenge

Step-by-step explanation:

The number of pitches = 9 pitches

The speed of the 9 pitches = 60 mph

The percentage of the time Diego estimates he can each pitch = 95%

P = 0.95

The amount Diego will win if he can hit all 9 pitches = $45

The amount he will loose = $10

The Fast Ball challenge

The number of pitches =  4 pitches

The speed of the 4 pitches = 90 mph

The percentage of the time Diego estimates he can each pitch = 60%

The amount Diego will win if he can hit all 4 pitches = 60 %

The amount he will loose = $20

For the Slow Ball challenge, we have;

The probability that he hits all 9 pitches and wins the $45, is given by the binomial probability distribution as follows;

P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

Therefore, we get;

P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025

The probability that he losses the $45 = 1 - P(X) ≈ 1 - 0.63 = 0.36975

The expected value = 0.63025 × 45 - 0.36975 × 10 ≈ 24.66375

The expected value ≈ 24.66375

For the Fast Ball challenge, we have;

The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;

P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ

Therefore, we get;

P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296

The probability that he losses the $80 stake = 1 - P(X) ≈ 1 - 0.1296 = 0.8704

The expected value = 0.1296 × 80 - 0.8704 × 20 ≈ -7.04

The expected value ≈ -7.04.

Given that the expected value for the Fast Ball Challenge is lesser than the expected value for the Slow Ball Challenge, Diego should play the Slow Ball Challenge.


Related Questions

does anyone know how to do any of this??????????

Answers

Answer:

is that math or something calculation?

BRO PLEASE HELP I NEED THIS STUFF IN AN HOUR PLEASE...

Answers

Answer:

They Have The Same Y-Intercept.

Function 2's y-intercept is -5.

Function 1 y-intercept could be found by inputting 0 as r.

p=0-5

p=-5

Meaning, they're equal.

Can you please help me

Answers

Answer:

I would say that D is the correct one

Find the value of x.

Answers

Answer:

Hey love! Answer: 129

Step-by-step explanation:

The answer is 129 because there vertical angles and vertical angles have the same measure. Hope this helps!

X= 129 (being vertically opposite angle)

Hope it helps you

Find the missing term in this
geometric sequence:
13, [?], 208

Answers

208 divided by 13 = 16
You are multiplying by 4 each time so the second term is 13 x 4 which equals to 52

Answer is 52

uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.

Answers

58/17 =3.411 26.5x3.411=90.39 so round to 90.4

help me with this please and thank you

Answers

Answer:

12.56

Step-by-step explanation:

d = 2r = 2(2 m) = 4 m

C = πd = 3.14 × 4 m = 12.56 m

Answer:

C=12.56 m

Step-by-step explanation:

The radius is 2 m. To find the circumference, you need d, which is the diameter.

The diameter of a circle is 2 times the radius.

d=2*2=4

Now use the formula to find the circumference

C=3.14*4=12.56

3. Colin found apples on sale for 6 for $2.18. He wanted
to make some apples cider, and bought 4 dozen apples.
How much did he pay?

Answers

Answer: $17.44

Step-by-step explanation:

4 (dozens) ×12 (total number in a dozen) = 48 (total apples)

48÷6= 8. This was divided so there is equal groups of 6.

8 (number of groups of six) x 2.18 (cost of 6 apples)= 17.44

$17.44 was the total cost.

Jalissa is a fashion designer and
is working with a circular piece of
fabric that has an area of 803.84
square inches. What is the
diameter, in inches, of the fabric?

Answers

Answer:

31.99in

Step-by-step explanation:

Hey can yall help me
what's 9+10+2=

Answers

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

help
What is the domain and range of the exponential graphed below?

A.Domain: All real numbers
Range: y > -4


B.Domain: All real numbers
Range: All real numbers


C.Domain: x > 0
Range: y < -6


D. Domain: All real numbers
Range: y > 0

Answers

Answer:

B

Step-by-step explanation:

I just did the test

The range and domain of the function exists on all real values

Domain and Range of functions

Domain of a function is the value of the input of graph for which the function exists.

The range of a function is the value of the output of graph for which the function exists.

The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values

Learn more on range and domain here: https://brainly.com/question/2264373

Maths: A motorist covers 3km in 4minutes.what is his average speed in ms-1?​

Answers

Answer:

0.75m/s

Step-by-step explanation:

speed = d/t


giving brainliest

please help

Answers

Answer:

17 pt

Step-by-step explanation:

Cause 8 quarts= 16 pt and i added 1 pint to it so its 17 pints

Remember 1 quart = 1 pint

Have a good day!

the answer is 17pt, good luck

Jon 3.
Five members of a punk band were at the local skatepark, signing autographs. The table below shows
the number of autographs signed by each band member during the first hour. Which scatter plot
matches the table?

Answers

Answer:

. The table below showsthe number of autographs signed by each band member during the first hour. Which scat

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

the answer is w because it matches the points on the dot.

Find the area of each parallelogram or triangle

Answers

Answer:

Step-by-step explanation:

When two parallel lines are cut by a transversal, _______________________ angles are supplementary

A.Corresponding angles

B. Alternate interior angles

C, Alternate exterior angles

D.Same side interor angles

Answers

Answer:

When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.

Step-by-step explanation:

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​

Answers

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5

Prove or disprove the figure defined by points A, B, C, d is a rhombus

Answers

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal  (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)

true or false
when you have a common factor between the numerator and the denominator you will always have a hole

Answers

Answer:

true

Step-by-step explanation:

if 2f(x)-3f(1/x)=x^2 determine f(2)

Answers

-7/4
hope this helped

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in: 3 hours

Answers

Answer:

26 miles

Step-by-step explanation:

8 2/3 × 3 =26miles

hope this helps

Answer:

24 and 2/3

Step-by-step explanation:

1 kilogram and 63 grams = how many grams​

Answers

Answer: 6300 grams

Why?

1 kilogram = 1000 grams

63 * 1000 = 63000 grams

Hope this helps

:D

Answer:

1 kilogram = 1000 Grams

1000 Grams + 63 Grams = 1063 Grams

Answer = {[1063 Grams]}

Qué tipo de música grupera o de banda gusta más entre los alumnos de quinto grado

Answers

Answer:

pop

Step-by-step explanation:

Colorado Springs sales tax is 8%. If you bought a sweatshirt for $20
(Remember money always has two decimal places: $0.00)
the amount of sales tax would be: $
the total purchase amount would be: $

Answers

Answer:

the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Step-by-step explanation:

Given that

The sales tax rate is 8%

And, the purchase price of sweatshirt is $20

We need to find out the sales tax and the total purchase amount

The sales tax is

= $20 × 8%

= $1.60

And, the total purchase amount is

= $20 + $1.60

= $21.60

Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

find the end time

start time - 8;15AM
Elapsed time: 30h 20mins​

Answers

the answer would be 2:35 pm

Answer:

1 days 14 hours 35 minutes 0 seconds

Step-by-step explanation:

0 days 8 hours 15 minutes 0 seconds

+ 0 days 30 hours 20 minutes 0 seconds

= 1 days 14 hours 35 minutes 0 seconds

HELPPPPZ WORTH 30 POINTS AND BRAINLIEST

Answers

Answer:

1. 49000

2. 5680

3. 0.508

4. 860

5. 4.83

6. 0.227

7. 2900

8. 4.873

9. 1.992

10. 0.043

11. 41000

12. 0.58

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

#2

Please helppp
Extra 100 points

Answers

Answer:

Step-by-step explanation:

C looks good

What would the answer to this question be?
A. 40°
B. 60°
C. 80°
D. 100°

Answers

Answer:

D. 100°

Step-by-step explanation:

A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.

50 + 30 = 80

180 - 80 = 100

Answer:

These angles form a straight line, so they are supplementary angles.

We know that, supplementary angles form 180°.

[tex]50 + x + 30 = 180 \\ 50 + 30 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ x = 100[/tex]

=> So, the missing angles is 100°

WHAT IS THE ANSWER TO THIS AND WHY THANK YOU!


[tex](−1+√5) \div 2[/tex]

Answers

Answer:

get the app on your phone and scan it it should give u the correct answer

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