Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails with probability 1/4. If you flip heads, you win $2, but if you flip tails, you lose $1. What is the expected win of a con flip in dollars

Answers

Answer 1

Answer:

The expected win of a coin flip in dollars is 1.25.

Step-by-step explanation:

To find the expected win of a coin flip, we multiply the probability of each outcome by their earnings, and then add them.

We have that:

3/4 probability of heads. If heads, you win $2.

1/4 probability of tails. If tails, you lose $1.

What is the expected win of a coin flip in dollars?

[tex]E = 2\frac{3}{4} - 1\frac{1}{4} = \frac{2*3 - 1*1}{4} = \frac{6-1}{4} = \frac{5}{4} = 1.25[/tex]

The expected win of a coin flip in dollars is 1.25.


Related Questions

2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
. A truck can carry 6785 kg of goods. How much can 759 trucks carry?​

Answers

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there is a total number of (1) zero head, (2) one head, (3) two heads, (4) three heads, and (5) four heads appearing on the four coins, respectively.

Answers

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins =  H H H H = 1 outcome

Pr(four heads) = 1/16

Find the vertex of this quadratic!

Answers

Answer:

3,2

Step-by-step explanation:

The vertex is just the lowest or highest point of a parabola.

Answer:

(3, 2)

Step-by-step explanation:

The vertex of this quadratic is also the minimum value.  By inspection we see that the y-coordinate of the minimum is 2 and the x-coordinate is 3.  Thus, the vertex is (3, 2).

Okay can somebody please me fast with this problem

Answers

Answer:

3

Step-by-step explanation:

I don't know plz correct me If I'm wrong

Also brainliest?

Step-by-step explanation:

skakisjsjsjjajabbajaj

z^2+x-x: use x=3, and z=-2

Answers

Answer:

31 and 4

Step-by-step explanation:

Calculate the stroke of a slider-crank where the crank radius is 4.13 inches and the coupler is 5 inches.

Answers

Answer:

[tex]x=8.268 inches[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=4.13[/tex]

Coupler [tex]C= 5 inches.[/tex]

Generally the equation for Stroke in a slider-crank Mechanism x is mathematically given by

 [tex]x=2* Radius[/tex]

 [tex]x=2*4.13[/tex]

 [tex]x=8.268 inches[/tex]

solve the triangle please

Answers

Answer:

b

Step-by-step explanation:

b

HELP ME!! 1+3+5+....+97+99

Answers

use photo math or mathpapa

A jacket selling for $48 was on sale at 20% off. Find the sale price of the jacket. To estimate, round the original price to the nearest $10 answer key for
question​

Answers

$50x.20 = $10 off. So the jacket is estimated to be about $40

The surface areas of the two solids shown above are equal.
O A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.

We can see that the right solid has dimensions of:

L = 1 cm

W = 3 cm

H = 5 cm

The left solid has dimensions of:

L = 1

W = 2

H = 7

If we were to add these all up, they would not equal.

R: 1 + 3 + 5 = 9

L: 1 + 2 + 7 = 10

The answer to this question is false

helppppppppppppppppppppppppppppppp helpppppp

Answers

R- (-3,-4)
S- (-3,-1)
T- (-1,-4)

Answer:

R (3,-4)

S (3,-1)

T (1,-4)

Step-by-step explanation:

it goes over right 1 then down five so the new point of r for example is (-1,-4) then over the y axis so the new t is (1,-4)

Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?

Answers

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

Please solve
l = 44 cm, w = 27 cm, h = 89 cm

Answers

Answer:

160 Total

Step-by-step explanation:

105,732cm3

44x27x89= 105,732.

hope this helps <3

PLEEAASEEE HHELPPPP!!!!!!! How can you use the order in which the 4 aces are arranged to pick the secretary from among 24 candidates?

Answers

Answer:

There are 24 candidates. Counting rule three states that N objects can be arranged in N! different ways. So, 4 different aces can be arranged in 4! = 24 ways, and each of the 24 candidates can be assigned a unique sequence of aces.

Step-by-step explanation:

this is the sample answer

Answer:

each 24 candidates can be assigned a certain ace

Step-by-step explanation:

i said that

Asher is buying 4 shirts that are all the same price. The store has a sale that makes $5 off the regular price of each shirt. He pays a total of $70. He wants to know the regular price of one shirt.

Let’s P represent the regular price of one shirt. Which equation models ashers purchase?

5p - 4 = 70
5(p-4)=70
4(p-5)=70
4p-5=70

Answers

Step-by-step explanation:

4(p-5)=70

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

4(p-5)=70 ... 4 shirts times the price -5 equals 70

help is very much appreciated!

Answers

Answers:

VolumeSurface area

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

Explanation:

The volume is the amount of stuff that a container can hold on the inside, while the surface area is the amount of stuff that goes on the outside of the container (eg: the amount of paint or wallpaper). In the case of wallpapering a room, we're actually doing the inner walls rather than the outside walls; however, it's the same concept. The surface area only deals with the surface and we want to find out how much area we have to cover. That way we can know how much wallpaper to buy. For problem 1, he needs to know the volume so he can find out how much trash each can would be able to hold. The greater the volume, the larger the bin. For instance a small wastebasket would have a small volume compared to a large waist high heavy duty trash container.

what is "(1.2) x 3.05"
step by step

Answers

Answer:

3.66

Step-by-step explanation:

( 1.2 ) x 3.05 = 3.66

Can someone please help.

Answers

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74

Answers

Answer:

two of them are possible which one is the correct

Two of them are correct i dont know

Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form

Answers

Answer:

f(x) = (x+5)(x-8)(x-2)

Step-by-step explanation:

If we know the zeros, the polynomial is of the form

f(x) = (x-a)(x-b)(x-c)  where a,b,c are the zeros

f(x) = (x - -5)(x-8)(x-2)

f(x) = (x+5)(x-8)(x-2)

Answer:

f(x) = (x + 5)(x - 8)(x - 2)

Step-by-step explanation:

Given a polynomial with zeros x = a , x = b , then the corresponding factors are

(x - a) and (x - b)

The polynomial is a product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are

(x - (- 5)), (x - 8), (x - 2) , that is

(x + 5), (x - 8), (x - 2) and the polynomial is

f(x) = (x + 5)(x - 8)(x - 2)

Find the measure of angle A.

Answers

Answer:

m∠A = 108º

Step-by-step explanation:

The total of the angles in a four sides figure is 360

x + 2x + 3x + 4x = 360

Combine like terms

10x = 360

Divide both sides by 10

x = 36

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

m∠A = 3x

m∠A = 3(36)

m∠A = 108

6A+5C=112.50
8A+4C=130

Answers

Answer:

Is there a follow-up question you forgot to add?

Step-by-step explanation:

Answer:

(C,A) = (15/2, 25/2)

Step-by-step explanation:

this seems to be this answer above !hope this helps !!!

Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.​

Answers

The answer is 16 because u need to subtract the largest and the lowest

Numbers 1 to 20 are placed in a bag. Without replacing the first
number, what is the probability that the first number drawn will
be odd and the second will be even?

Answers

Answer:

Step-by-step explanation:

odd numbers=10

even numbers=10

P=10/20×10/19=5/19

Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9​

Answers

Answer:

C. x= 27

Step-by-step explanation:

The sum of Paul and Steve's ages is 61. Steve is one year older than Paul. How old is Steve?

Answers

Answer:

62 year old is he is right

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

What is the sum of 4 x 10 and 3 x 10 written in standard form?

Answers

the sum is 70 seventieth 70th

Answer:

Step-by-step explanation:

Add together the multipliers 4 and 3 to get 7; then we have 7*10,  or 70.

Find all six trigonometric ratios for the triangle shown. Show all work. In order to enter
mathematical text, click "Insert" and then "Equation".
20

15

Answers

Answer:

use the required formulas please !

Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat

Answers

Answer:

She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:

0≤ T ≤ 6

This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.

From this we have that the maximum time left that she has can be written as:

x + T = 6

so if T = 3h, meaning that 3 hours passed, she has:

X + 3 = 6

x = 6 - 3 = 3

3 hours left.

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

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