Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick 3 game that New Hampshire shares with Maine and Vermont. You choose a three-digit number; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 three-digit numbers, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is Payoff X Probability: $0.00 0.999 What is your average payoff from many tickets

Answers

Answer 1

Answer:

For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

Step-by-step explanation:

1/1000 chance of winning.

This means that there is an 1/1000 probability of you earning $500.

1 - 1/1000 = 999/1000 chance of losing.

In this case, you earn nothing.

What is your average payoff from many tickets

[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]

Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.


Related Questions

4. Write a fraction that is a multiple of 4/5

Answers

8/10 is the fraction

Answer:

multiply by any number to create a multiple

Step-by-step explanation:

4/5 = 8/10 = 12/15 = 16/20...

Is s=2/3 a solution of 6s−1=3s?

Answers

Answer:

nope

Step-by-step explanation:

No,  s=2/3 is not a solution of 6s−1 = 3s.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A linear equation,

6s − 1 = 3s.

Substituting,

s = 2/3,

Equation is,

3 ≠ 2

Simplifying,

6s - 3s = 1

3s = 1

s = 1/3

That means, s = 1/3 is the only solution of the equation.

Therefore, s = 2/3 is not a solution to the equation.

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Solve x2 – 2x = 15 by applying the quadratic formula.

Answers

Using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

What is the quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

We have:
x² – 2x = 15

x² – 2x - 15 = 0

The formula is:

x = -b ± √b² - 4ac/2a

Now, insert values as follows:

x = -b ± √b² - 4ac/2a

x = -(-2) ± √(-2)² - 4(x)(-15)/2x

x = 4 ± √2+60x/2x

Therefore, using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

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Help ASAP!!! I’m confused. Thank you!

Answers

Answer:

y = 23

Step-by-step explanation:

115 = 5y

Divide 5 by both sides of the equation.

y = 23

Please help
Find the perimeter of the following shape, rounded to the nearest tenth

Answers

Answer:

19.1

Step-by-step explanation:

i took the testttttt

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.

What is the length of any line on the graph?

The distance or length of any line on the graph,

[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

where,

d = distance or length of the line between points 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,

AB = √[(5-0)²+(-1-0)²] = √26 units

BC = √[(5-3)²+(-1+5)²] = √20 units

CD = √[(3+2)²+(-5+4)²] = √26 units

AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units

Perimeter = AB + BC + CD + AD

                 = √26 units + √20 units + √26 units + √20 units

                 = 19.1423 units ≈ 19.1 units

Hence, the perimeter of the given shape is 19.1 units.

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#4 Find the value of x and y 34° 109° x and y

Answers

180-109-34=37 x=37
180-37=143 y=143

Which club has more boys?

Drama Club
• Has 60 members.
• There are twice as many
girls as boys in the club.


Debate Club
• Has 50 members
• There are 10 more girls than boys in the club.​

Answers

Answer:

Debate club

Step-by-step explanation:

to get the answer that you need what you have to do is 60 / 2 and that equals 30 and then next what you have to do 50 - 10 and that gives you 40 so if you look closely you can see that 40 is bigger than 30 so that's how you get your answer I hope I help you out

whats 1+0+9+5+5+3+9+3+112-123+7-7x0

Answers

Step-by-step explanation:

First, multiply -7 by 0.

-7×0=0

Now, do the adding and subtracting.

1+0=1

1+9=10

10+5=15

15+5=20

20+3=23

23+9=32

32+3=35

35+112=147

147-123=24

24+7=31

31+0=31

The answer is: 31

Do it step by step for example 1+0 then the rest then you should get the answer then check your work twice to make sure it is right which the answer would be:31


someone help please

Answers

Answer:

(0, 1) and (4, 7)

Step-by-step explanation:

We are going to find the equation that satisfy the question.

The equation of a line is: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

The problem gives us the slope and a point the line passes through.

In order to find b, we plug in the given point (2,4) and solve.

[tex]4=\frac{3}{2} *2+b[/tex]

[tex]4=3+b\\1=b\\[/tex]

The equation for the line is:

[tex]y=\frac{3}{2} x+1[/tex]

By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.

According to the figure, which statement is correct?

A . AB and DC appear to be parallel.


B. AB and DC appear to be perpendicular.

C. BF and DC appear to be perpendicular.

D. AB and EF appear to be parallel.

Answers

Answer:

c

BF and DC appear to be perpendicular.

Answer: C

Step-by-step explanation:

BF and DC appear to be perpendicular. Perpendicular means meets at 90 degrees (a right angle)

A ship caption is mapping

Answers

I attached the answer and explanation below
Answer:
25 miles per hour

Explanation: In the 2nd column in the graph it says that in 1 hour (time) the ship captain can travel 25 miles (distance).

Glad to help!! :)

can't quite figure out the limit problem ​

Answers

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.

Consider the cylinder with a volume of 132 cm3.
What is the volume of a cone with the same radius and
height as the cylinder?
O 337 cm
O 447 cm
O 66 cm
O 132 cm
3
V = 132 cm

HELPPP

Answers

Answer:

447 cm or 337 cm can be both

The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.

The volume of given cylinder is = 132cm³

The volume of a cylinder of radius r and height h is given by

V=πr²h

Therefore, πr²h=132

Now volume of cone of same radius and height is = (1/3)πr²h

                                                                                   =(1/3)×132

                                                                                   =44cm³

Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.

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Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime

3.5 = 2 - (1/2)p

(1/2)p+ 2 = 3.5

3.5 + 2 = (1/2)p

(1/2)p - 2 = 3.5​

Answers

Answer:

(1/2)p+2=3.5

Step-by-step explanation:

1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.

Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.

Answers

Answer:

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

Step-by-step explanation:

We are given the following parametric equations:

[tex]x = t^2 + 1[/tex]

[tex]y = t^2 - 1[/tex]

We want to eliminate the parameter t. From the first equation:

[tex]x = t^2 + 1[/tex]

[tex]t^2 = x - 1[/tex]

Replacing in the second equation:

[tex]y = x - 1 - 1[/tex]

[tex]y = x - 2[/tex]

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

what's the first step of solving -x^2-4x+16=0 ??? NOW!

Answers

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.

Answers

Answer:-5x^2

Step-by-step explanation:

Akari has a sink that is shaped like a half beer with a radius of 5 in if Akari was to fill the sink with water what would the volume be? Find the volume of the sphere with the same radius. Find the volume of the sink if it is half of a sphere.

Answers

I’m not sure I’m so sorry

A disease is spreading through a flock of 100 sheep. Let S(t) be the number of sick sheep t days after the outbreak. The disease is spreading at a rate proportional to the product of the time elapsed and the number of sheep who do not have the disease. Suppose that 10 sheep had the disease initially. The mathematical model is:________

Answers

Answer:

módem an decandes frenses

Answer:

10 out of 100

Step-by-step explanation:

How many solutions ?

Answers

Answer:

one solution

the solution is x=0

Answer:

1

Step-by-step explanation:

You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.

What is the measure of arc PSR? *

75 degrees
260 degrees
65
100

Answers

Answer:

it most likely would be 260 degrees

1.
Which of the following statements are true? Select All that apply.
A. Two angles that have a combined measurement of 90° are supplementary.
B. Two angles that have a combined measurement of 180° are supplementary.
C. Two angles that share a side and a vertex are considered adjacent.
D. Two angles that are created by two intersecting lines with a shared vertex, no
shared side, and are opposite each other are considered vertical.
E. Vertical angles do NOT have the same angle measurement.

Answers

Answer:

B C D

Step-by-step explanation:

Who can answer this problem

Answers

Answer:

5440

Step-by-step explanation:

85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440

Answer:

5,440

Step-by-step explanation:

85+85

170+170

340+340

680+680

1360+1360

2720+2720

double it 6 times

which characteristic of water will allow a paper clip to remain floating on water when the paper clip is gently placed on top of the water

Answers

Answer:

surface tension

When graphing a system of equations with infinitely many solutions the slopes of the two lines will be

Answers

Answer:

The slopes if the two lines will be the exact same

Step-by-step explanation:

the only way for a system of equations to have indefinitely many solutions would have to be having the same equation. same equation means same slope and y intercept

PLZZZZZZZZZZZZZZZZZ HELP WILL MARK BRAINLIEST 84 POINTS
1 + 2=

Answers

Answer: 3

Step-by-step explanation: 2 is 1 and 1 put together plus another 1 makes 3

If the bug jumps 7 units and lands at 0, where could it have started?

Answers

The answer is -7 jzzoksjsjs

Answer:

7 or -7

Step-by-step explain

This depends on how it works. if we are including negative numbers then an option is -7. If we are going backwards and not including negatives then it would be 7

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?

Answer is y=-1/2x-6
:)

Answers

Answer:

yo sorry I'm dum need points

If x + 10 = 70, what is x?
Α. 40
B. 50
C. 60
D. 70
E. 80

Answers

Answer:

×+10=70

you take 10 to the other side .... and it'll change signs ..as it was positive it will be negative then you simply say

×=70-10

×=60

O Mary bought 2 gallons of orange juice for a class celebration. 1 serving of juice is 1 cup. She has 24 classmates. Will there be enough juice for everyone to get a full serving?​

Answers

Yes there will be enough juice for everyone to get a full serving. There will be 8 servings left over
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