At a festival you run across a booth with an interesting game. Tokens are sold for $2 with a selection of prizes. There is a $25 grand prize which you have a 5% chance of winning, there are 5 mid-level prizes, each worth $15 with a 15% chance of winning, and there is a consolation prize worth $1 with a 20% chance of winning. What is your expected gain or loss if you play this game

Answers

Answer 1

Answer:

Your expected gain is of $10.7.

Step-by-step explanation:

Expected earnings:

The expected earnings is each prize multiplied by it's probability of being earned.

So

5% probability of earning $25.

5*15% = 75% probability of earning $15.

20% probability of earning $1. So

0.05*25 + 0.75*15 + 0.2*1 = 12.7

Cost of token:

The token costs $2, which means that we subtract $2 from the expected earnings.

12.7 - 2 = 10.7

Your expected gain is of $10.7.


Related Questions

The lateral areas of two similar cylinders are 196π in^2 and 324π in^2. The volume of smaller cylinder is 1715π in^3. Find the volume of the larger cylinder.

Answers

Answer:

3,645 π in³

Step-by-step explanation:

the ratio of the radius :

r1 : r2 = √196 : √324

= 14 : 18

= 7 : 9

the ratio of the volume:

v1 : v2 = 7³ : 9³

= 343 : 729

so, the volume of the larger cylinder =

729/343 x 1715π = 3,645 π in³

Answer:

since the cylinders are similar their area and volume will be proportional

[tex]\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}[/tex]

[tex] \frac{196π}{324π}=\frac{1715π}{V}[/tex]

V=1715π*324π/126π

V=4410πin³

the volume of the larger cylinder is 4410πin³.

write an EXPRESSION for the following!

4 less than x

17 more than x

the product of 18 and x

the quotient of x and 17

70 less than x

Answers

Answer:

70

Step-by-step explanation:

8+its 70 less than x hope it will be helpful

Find the missing number so that the equation has no solutions.
-4x - 15 = x + 6

Answers

Answer:

-4.

Step-by-step explanation:

-4x - 15 = -4x + 6

has no solution.

PLS PLS HELP ME NO LINKS IF YOU GIVE ME RIGHT I WILL GIVE BRAINLIEST 50 POINTS!!!!!!!!!

Answers

What is the question

Answer:

What's the question?

Step-by-step explanation:

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

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

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

What is the first step in solving the equation: 9n = 72?

Answers

Answer:

82

Step-by-step explanation:

If you want to get “n” by itself, then divide both sides by 9 to get n = 8.

solve the triangle please

Answers

Answer:

b

Step-by-step explanation:

b

Help I need an explanation

Answers

Answer:

Step-by-step explanation:

X =75

Answer:

180° - 105 = 75°i.e angle EFB (sum of angle in st.line)

Step-by-step explanation:

X°= angle EFB ( being corresponding angle)

Hence the value of x is 75

PLEASE HELP WILL MARK AS BRAINLIEST

According to the percent values in this graph,
how many degrees is the section
labeled hamburgers?

Answers

104.4? I think this is it. i got this awnser hu look in got up!

7. If four times a number plus 3 is 11, what is the number?
A. 4
B. 2
C. 5
D. 16

Answers

Answer:

B

Step-by-step explanation:

Cause....

11-3=8

8/4=2

Answer:

B: 2

Step-by-step explanation:

To get this answer, you would do:

11-3 = 8

then divide it by four, resulting in this as your answer :

8/4 = 2

Best regards!

15 PTS PLEASE HELP QUICK THE QUESTION IS BELOW
What is the measure of ∠E?

Answers

Answer:

80 degrees

Step-by-step explanation:

first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180

180-120=60

then add that to angle D

60+40=100

and all triangle angles add up to 180 so subtract 100 from 180

180-100=80

80 is your answer

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 !

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.

Help me pleaaaaaseeee​

Answers

a = 28.356 ≈ 28.4

Here, we use law of sines, which says that sina / A = sinb / B. We know that b = 130 degrees, B = 10cm, and A = 6.2cm. Using algebra, we solve sina / 6.2 = sin130 / 10 to get a final answer.

ughhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Hello! answer: 260.66

Step-by-step explanation:

I dont know for sure but I'd assume you would add them all up for the total so 260.66 is the total when adding them up

What is the degree?
6−n
2
+5n
3

Answers

Answer:

The degree is 3

Step-by-step explanation:

Given

[tex]6 - n^2 + 5n^3[/tex]

Required

The degree

The highest power of the variable is regarded as the degree of the polynomial

In the given polynomial, the variable is n.

And the powers of n are:

[tex]n = \{0,2,3\}[/tex]

The highest power is 3; Hence, the degree is 3

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.

Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)

Answers

Answer:

If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.  

Step-by-step explanation:

Hope this helps!

Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.

Probability can be calculated using the following expression:

[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]

When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.

When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.

An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.

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.

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

Answers

use photo math or mathpapa

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

Answer two questions about Equations A and B:

A. 5x = 3x

B. 5 = 3

1) How can we get Equation B from Equation A?

A. Add/subtract the same quantity to/from both sides

B. Add/subtract a quantity to/from only one side

C. Multiply/divide both sides by the same non-zero constant

D. Multiply/divide both sides by the same variable expression

2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

A. Yes

B. No

Answers

Yes I’d the answer and it’s D

1) Find the product: 6 x 1/3= * O 61/3 O 6/18 6/3 01/18​

Answers

Answer:

2

Step-by-step explanation:

Answer:

I think its the second answer

What is the common difference of the arithmetic sequence graphed below?
CO
tan
1 +
-11
1
2.
3
4
5
6
7
8
9
n
-27
-37
-4
-5
-6
(1.-3.75)
• (2, 4.5)
(3, -5.25)
• (4, -6)
• (5.-6.75)
• (6, -7.5)
• (7,-8.25)
(8,9)
-7
-8
-9-
-101
4.

Answers

Answer:

The common difference is: -0.75

Step-by-step explanation:

Given

See attachment

Required

The common difference

From the graph, we have:

[tex]T_n: -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9.[/tex]

The x coordinates represent the position of each term

The common difference (d) is:

[tex]d = T_n - T_{n-1}[/tex]

Let [tex]n = 2[/tex]

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_1[/tex]

So, we have:

[tex]d = -4.5 - (-3.75)[/tex]

[tex]d = -4.5 +3.75[/tex]

[tex]d = -0.75[/tex]

8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30

Answers

Answer: A. $4.12

Step-by-step explanation:

Y=a(1+r/n)^nt is the equation we use to solve this.

a= $0.43

t=37 - take 1980 and subtract it from 2017

r= .063 - the 6.3% goes into a decimal

n = 1

Y= ?

Y= 0.43( 1+ .063/1) ^1*37

Y= 0.43 (1.063) ^37

Y= 4.12

HELP PLS ILL GOVE BRAINLIEST

Answers

Answer:

x = 6, y = 5

Step-by-step explanation:

y = x - 15 = 6 - 1         Substitute y for 5 and x for 6

Mark me as brainliest!!

3 inches
7
6 points
A cylinder whose height is 5 meters has a volume of 3207. Find the radius.
64 meters
12.8 meters
8 meters
1
201 meters
2
8
6 points
3
The lateral area of a cube is 36 square inches. How long is each edge?

Answers

Answer:

8

3

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 3207

Radius, r

Height, = 5

320π = π * 5 * r²

320 = * 5 * r²

320 = 5 * r²

r² = 320/ 5

r² = 64

r = 8 m

The lateral surface area of a cube is

LSA = 4s²

Where s = edge length

36 = 4s²

s² = 36/4

s² = 9

s =. sqrt(9)

s = 3

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"

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