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hoa [83]
3 years ago
13

A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,

the player wins nothing. If there is a charge of $9 to play the game, what is the game's expected value?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

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What is x<br> 7x-21=4x-36
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Step-by-step explanation:

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3 years ago
What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?
andreev551 [17]

Answer:

V = 37.7cm^3

Step-by-step explanation:

The formula for the volume of a cone is:

V = \frac{1}{3} \pi r^2h

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Let's plug these into the equation:

V = \frac{1}{3} \pi (2)^2(9)

Now solve:

V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3}  \pi \\V = 12\pi \\V = 37.7cm^3

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<em>I hope this helps!!</em>

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Answer:

\boxed{\sf D)\:-24a^3b^7}

Step-by-step explanation:

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We'll use rule of exponents to simplify expression.

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Now, use the commutative property of multiplication.

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In order to multiply power of the same base, we add their exponents.

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→ Add exponents:

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→ Multiply 3* -8

\sf -24a^3b^7

__________________________________________

8 0
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