flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.

Answers

Answer 1

Answer: the expected value of Tom's payoff is

Step-by-step explanation:

Given the data in the question,

E[x] = mp                                        

where p = 1/2

Now Tom gets payoff pounds until a tail first appears = 2m pounds

so

E[x] = m × 1/2 × 2m

E[x] =

Therefore the expected value of Tom's payoff is


Related Questions

The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left

Answers

34 Stacks of 10 with 5 pennies left.

Answer:

34 stacks with 5 pennies left

Step-by-step explanation:

345 / 10 = 34.5

10 * 34 = 340

345 - 340 = 5

estimate the circumference of a circle that has a diameter of 13 yards​

Answers

Answer:

aproximately 41 yards

Step-by-step explanation:

the equation equals 40.8 yards, rounded up is 41

State the segment that represents the image, based on the information given.

Answers

Answer should be D. CPA

The clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

What is Rotation?

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given:

We have ΔAPG.

Now, we have to rotate about 90 clockwise rotation.

Then, ΔAPG will overlap on ΔCPA

Hence, the clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

Learn more about Rotation here:

https://brainly.com/question/1571997

#SPJ2

There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?

Answers

Answer: The answer is 15:7

Answer:

15:7

Step-by-step explanation:

6 divided by 3 1/3?
1 20
2 1 4/5
3 2

Answers

Answer:

1 4/5

Step-by-step explanation:

14/5

Step-by-step explanation

Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!

Answers

Answer:  (-1, 11)

This means x = -1 and y = 11 pair up together.

================================================

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

Below is a diagram of Justin's garden. What is the area of his garden?

Answers

Answer:

230 ft²

Step-by-step explanation:

(20 * 10) + (26-20)*(10-7) = 200 + 18 = 218

(32*14) - 218 = 230

Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4

Answers

Answer:

for (f+g)(x): 7x + 3; x = -3/7

for (f-g)(x): -3x - 3; x = -1

Step-by-step explanation:

(f+g)(x) = (2x+7)+(5x-4)

Eliminate parentheses.

2x + 7 + 5x -4

Combine like terms.

7x + 3

If you are solving for x, move the 3 to the other side.

7x = -3.

Then divide each side by 7.

x = -3/7

(f-g)(x) = (2x+7) - (5x -4)

Distribute the negative.

(2x+7) + (-5x+4)

Eliminate parentheses.

2x + 7 - 5x - 4

Combine like terms.

-3x -3

If you are solving for x, move the -3 to the other side.

-3x = 3

Then divide each side by -3.

x = -1.

An online book store has 182 boxes of books in its warehouse. Each box has 32 books.

Part A
Which equation represents the best estimate of the total number of books in the warehouse?
180 × 30 = 5,400
180 × 40 = 7,200
190 × 40 = 7,600
200 × 40 = 8,000
Part B
Is the best estimate in Part A an underestimate or an overestimate? Explain.

It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.

It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.

It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.

It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.

Answers

part a:
180 x 30

part b:
underestimate. the rounded value is less than the original number

Answer:

Part is A. Part B is underestimate. Part C (for the choose drop-off boxes are these: 1# < 2# < 3# <

Step-by-step explanation:

I took the test, hope it helps.

Convert the temperature equivalent to 30 degrees Celsius to degrees Fahrenheit, using the formula F = 1.8C + 32 *​

Answers

Answer:

86°F

Step-by-step explanation:

Plug in 30 as C in the formula:

F = 1.8C + 32

F = 1.8(30) + 32

F = 54 + 32

F = 86

So, the answer is 86°F

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.

Answers

Answer:

6

Step-by-step explanation:

I took the test

Answer:

6

Step-by-step explanation:

just took the exam

A drawing has a scale of 1 mm: 20 cm. What
is the scale factor of the drawing?

Answers

The scale factor of the drawing is 200.

Scale Factor of a Drawing

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

Learn more about scale factor on:

https://brainly.com/question/2826496

Why should we wear rubber gloves on our hands while working with electricity?​

Answers

Answer:

a simple answer would be that rubber doesnt conduct electricity, so by wearing it you are at a substantially lower risk of being insured by electricity. This is also why people who work with electricity wear rubber soled boots.. to prevent grounding and ultimately, to prevent getting electrocuted. hope this helps :)

Answer:

if you don't wear rubber gloves, there will be a chance of you being electrocuted. Rubber gloves don't let any electricity to go through, so your body can stay safe.

Hope this helps.

Step-by-step explanation:

The following data points represent the number of students in each teacher's class at Dodger Middle School. Sort the data from least to greatest. 21 14 23 15 17 22 14 21 Find the median class size. students​

Answers

Answer:

i think 19

Step-by-step explanation:

Answer:

The answer is 19.

--------------------------------

Least To Greatest

--------------------------------

14, 14, 15, 17, 21, 21, 22, 23.

Step-by-step explanation:

Can somebody help me with this problem

Answers

Answer:

42/6=7

Step-by-step explanation:

You are dividing 42 by 6, since only 6 can sit at a table

The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS

Answers

Step-by-step explanation:

Since area of Square A = 7 ft²,

Side length of Square A = √7 ft.

Length of Rectangle B = √7 ft

Width of Rectangle B = 4/√7 ft

Hence Area of Square C

= (4)² / (√7)² ft² = 16/7 ft².

The area of Square C is the square of the height of the Rectangle B.

Correct responses:

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex]

[tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]

Methods used for finding the area of Square C

The given area of square A = 7 ft.²

The given area of rectangle, B = 4 ft.²

Let s represent the side length of square C and let S represent the side length of square A, we have;

Area of rectangle B = S × s = S·s

Area of square A = S × S = S²

Area of square C = s × s = s²

[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]

Therefore, the expression for the area of Square C in terms of the area

of Square A and Rectangle B is presented as follows;

[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]

Which gives;

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]

By simplification, we have;

[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]

[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]

Learn more about squares and rectangles here:

https://brainly.com/question/2288475

https://brainly.com/question/14044544

https://brainly.com/question/8428727

Please help photo attached

Answers

Answer:

C

Step-by-step explanation:

conjugate just changes the sign of the radical (but nothing else)

Answer:
C
Explanation:
I took the test

Factor the expression to fill in the blank:
24 + 32 = (3 + 4)

Answers

Answer:

8

Step-by-step explanation:

The answer is 8 have a good day

PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER​

Answers

Answer:

c

Step-by-step explanation:

if 50% is 100 what is 25%, 75%, and 100%​

Answers

Step-by-step explanation:

25%=50

75%=150

100%=200

hope it helps

mark me brainliest

One Solution, Infinite Solutions, No Solution

Answers

Answer:

options?

Step-by-step explanation:

gib options

The length, width and height of a rectangular prism is given as 15 cm, 10
cm and 5 cm respectively. What is the volume of the prism? *

A) 30cm3
B)150cm3
C)750cm3
D)750

Answers

Answer:

Its option C

Step-by-step explanation:

to find the volume you multiply the length, width and height together.

C is the correct answer.

Why?

Volume is calculated by multiplying a, b and c
V = a x b x c
V= 15 cm x 10 cm x 5 cm
V= 750cm^3

Do note that since we are finding the volume, the proper measurement would be cm^3

The cordinates of three of the verticies of paralellogram ABCD are A(1,0), B(2,3) and C(3,2). What are the cordinates of the 4th Vertex and the point of intersection of the diagonals

Answers

Answer:

1) x cordinate x= 2

2) y cordinate y = -1

b)the point of intercowegwjpoeg is (2,1)

Step-by-step explanation:

Answer:

U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |

Step-by-step explanation:

I need help with solutions

Answers

Answer:

10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b

Step-by-step explanation:

I'm pretty sure they are all right

If there are 34 successes in a sample with a size of 40, what is the sample
proportion?

Answers

Answer:

Step-by-step explanation:

0.85

Answer:

.85

Step-by-step explanation:

Is this correct? If not plz get answers 25points!!!

Answers

That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10

what is another way to write 2.24 x 100

Answers

Answer:

224

Step-by-step explanation:

2.24*100 is 224

You can do it two ways.

First way: use a calculator

second way: multiply it out with normal multiplication

third way: Each zero is one place. There are two zeroes in 100. So in 2.24, you move the point (dot) to the right TWO TIMES. THat makes it 224.0, which is basically 224.

Find all solutions to the equation.

7sin2x - 14 sin x + 2 = -5

Answers

Answer:

Step-by-step explanation:First, group and combine like terms:

x

3

+

2

x

2

+

7

x

2

+

14

x

x

3

=

(

2

+

7

)

x

2

+

14

x

x

3

+

9

x

2

+

14

x

Next, factor out an

x

from each term in the expression:

(

x

x

2

)

+

(

x

9

x

)

+

(

x

14

)

x

(

x

2

+

9

x

+

14

)

Because

7

+

2

=

9

and

7

2

=

14

we can factor the quadratic term as:

x

(

x

+

7

)

(

x

+

2

)

What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

TIMED QUIZ! possibly easy i just don’t get it. HELP

Max is driving 45 miles per hour. A dog runs into the street and Max reacts in about three quarters of a second. What is his approximate braking distance?
O about 101 feet
about 112 feet
O about 75 feet
O about 92 feet

Answers

It’s definitely about 75
Other Questions
You can buy an item for $140 on an in-store payment plan with the promise to pay $140 in 90 days. Suppose you can buy an identical item for $128 cash. If you buy the item for $140, you are in effect paying $12 for the use of $128 for three months. What is the effective annual rate of interest Divide 45 among 3 person so that their share are in the ratio 4:5:6 Based on this excerpt, what can you infer aboutChamberlain's position on the Sudetenland?O He was willing to protect the Sudetenland at allcosts.O He was willing to trade the Sudetenland to maintainthe peace.O He thought Germany did not have a right to claimthe Sudetenland.O He did not believe the Sudetenland should beseparated from Czechoslovakia. BRAINLEST ANSWER!!Find the coordinates of midpoint E.(Enter answer in simplified form.) it takes 25 min to cook 10 egg how long does it take to cook 20 Who built the first theater in England? What did he call this theater 4. Were African Americans immediately able to vote after the 15th amendment wasratified? What types of evidence typically strengthen the trustworthiness of news media? (Selectthe THREE correct answers.)evidence that comes from another trustworthy sourceevidence that helps show a balanced perspectivespecific and detailed evidenceevidence that is shocking or surprising What conversion factorsdetermine the number ofmolecules from the mass of acompound? CJ walks 8 miles in 3 hours. at what unit rate does CJ walk? Please only answer is you understand the question Solve for the unknown quantity in each proportion.Question: K over three equals three over nineA. 1B. 3C. 9D. 27 In the summer picnic season, a sharp rise in the price of burgers may lead to an increase in demand forbuns. buns. relish. relish. chicken. chicken. coleslaw. 1. _______ Allen was driving home when a deer jumped out. The deer damaged his truck.2. _______ A lightning strike at Troys home damages his TV and DVD player. 3. _______ ABC Insurance Inc. advises Katie that she cannot take out a policy on Brad Pitt. 4. _______ Adams job is deciding if the insurer will accept a risk and what the cost will be. 5. _______ Amy decides not to purchase a new car because insurance is so expensive. 6. _______ Bill is paid for a collision claim based on the book value of his vehicle.7. _______ Cheetums Body Shop padded the repair bill for Chriss pick up.8. _______ Janet hit a car and someone was hurt. This covers the medical expenses.9. _______ Keith let the auto insurance policy lapse. Keith rear-ended Anns truck today.10. _______ Missy owes for damage to Johns car because she hit him while talking on her cell. 11. _______ Monicas life insurance costs more but includes a savings component. 12. _______ Pat insures his business partner, Chuck, with a $1 million life insurance policy.13. _______ Rob gets a bill in the mail from ABC Insurance Company for $125. 14. _______ Ross contacted this business when he had an automobile accident.15. _______ Tammy hit a telephone pole and did over $2000 damage to her car. 16. _______ This requires Joe to buy liability insurance prior to getting a license plate. 17. _______ Thomas shut the trunk on his thumb and went to the emergency room.18. _______ Tony and Chris staged an auto accident to collect claim benefits.19. _______ Wandas car was damaged by hail during a storm.20. _______ An ambulance transported Melanie to the hospital after the other car crossed the center line and caused a wreck.a. Actual Cash Value b. Bodily Injury Liabilityc. Collisiond. Comprehensive e. Financial Responsibility Law f. Homeowners g. Insurable Interesth. Insurance Company/Insureri. Insurance fraudj. Insuredk. Joint Insurancel. Medical Paymentsm. Premium n. Property Damage Liabilityo. Rentersp. Risk managementq. Underwriterr. Uninsured and Underinsured Motorist s. Whole Life PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!Solve this equation and show your work step by step using PEMDAS3y + 6 = 30 How were the Coahuiltecan similar to Karankawa? Why does Jonas have to take a daily pill now? Aubrey's coach asks her to bring 5 liters of water to practice.How many 500-milliliter bottles does Aubrey need to buy to haveexactly enough water?500A. 1 bottleb. 5 bottles c. 10 bottles d. 15 bottles Amy's family drove to Lucky Land Fun Park for the day. Her dad and momshared the driving. Amy's dad drove 3 miles for every 5 miles her momdrove. If Amy's mom drove 32 more miles than her dad, how many milesdid they drive altogether? (Draw a tape diagram to help you). * Evaluate the expression. [2.1 + (9.2 x 3.3)] x 0.8 What did the government hope to ovoid when creating the Articles of Confederation