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Lelu [443]
2 years ago
11

In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and wit

h probability .9999999 one wins nothing ($0). Let Y denote the winnings from buying one ticket. Construct the probability distribution for Y. Show that the mean of the distribution equals .10, corresponding to an expected return of 10 cents for the dollar paid.
Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0

Using the expected value, it is found that the mean of the distribution equals $0.1.

  • The expected value, which is the mean of the distribution, is given by <u>each outcome multiplied by it's probability</u>.

The probabilities of <u>each outcome</u> are:

  • .0000001 probability of earning $1,000,000.
  • .9999999 probability of earning $0.

Thus, the mean is given by:

E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1

Thus showing that the expected value is $0.1.

A similar problem is given at brainly.com/question/24855677

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Which choice represents the expression below as a single exponential
Lostsunrise [7]

Answer:

D

Step-by-step explanation:

When multiplying numbers with the same base but different exponents, add the exponents together.

4 0
2 years ago
Please help I need help on this
LiRa [457]
1×10+7×1+6×0.1+0×0.01+1×0.001 is the answer
4 0
3 years ago
To rent a car a company will charge customers a $50.00 fee and then $29.99 per day to rent a car. Which expression represents th
blsea [12.9K]

Answer:

D

Step-by-step explanation:

Because n is the number of days and 29.99 is the cost per day.

Also, $50 is the fee so you add that too.

6 0
3 years ago
PLEASE HELP!
Aleksandr-060686 [28]

The equation of the function f(x) is f(x) = 2 sin(π/2(x + 6)) - 3

<h3>How to create the sine function?</h3>

A sine function is represented as:

f(x) = A sin(B(x + C)) + D

Where

A = Amplitude

Period = 2π/B

C = Phase shift

D = Vertical shift

The requirements in the question are:

  • Amplitude not equal to 1
  • Period not equal to 2π
  • Non-zero phase and vertical shifts

So, we can use the following assumptions

A = 2

Period = 4

C = 6

D = -3

So, we have:

f(x) = 2 sin(B(x + 6)) - 3

The value of B is

4 = 2π/B

This gives

B = π/2

So, we have:

f(x) = 2 sin(π/2(x + 6)) - 3

<h3>The amplitude, vertical shift, period of f(x)and the phase shift</h3>

Using the representations in (a), we have:

  • Amplitude = 2
  • Vertical shift = -3
  • Period = 4
  • Phase shift = 6

<h3>The graph of the function</h3>

See attachment for the graph of f(x)

<h3>The value of cos θ </h3>

Let θ = 3π

So, we have:

cos(3π)

This is calculated as:

cos(3π) = cos(2π + π)

Expand

cos(3π) = cos(2π) *cos(π) - sin(2π) *sin(π)

Evaluate

cos(3π) = -1

<h3>The value of sin θ </h3>

Let θ = 3π

So, we have:

sin(3π)

This is calculated as:

sin(3π) = sin(2π + π)

Expand

sin(3π) = sin(2π) *cos(π) + cos(2π) *sin(π)

Evaluate

sin(3π) = 0

<h3>The value of tan 2θ </h3>

Let θ = 3π

So, we have:

tan(2 * 3π)

tan(6π)

This is calculated as:

tan(6π) = tan(3π + 3π)

Evaluate

tan(3π) = 0

Read more about sinusoidal functions at:

brainly.com/question/10700288

#SPJ1

6 0
1 year ago
The height of Tower A is 720 feet more than Tower B. The two towers have a combined height of 1,982 feet. What are the heights o
Kobotan [32]
Okay so. 

We have two basic equations 

Tower A+ B+720    A is 720ft taller than B. 
Tower A+B= 1982     Combined height is 1982ft

Replace A with B+720 in 2nd equation and solve for B 

B+720+B=1982   Combine like terms 
2B+720=1982     Subtract 720 from both sides
2B=1262              Divide both sides by 2
B=1262/2 
B= 631ft 

We know that A=B+720 so you simply need to do that addition to have the height of both towers. 



4 0
3 years ago
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