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Vika [28.1K]
3 years ago
8

Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number

comes up even, you lose 4 points. What is the expected number of points per roll?
–0.25

–0.5

0

0.25

0.5
Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer:

-0.5

Step-by-step explanation:

laila [671]3 years ago
5 0

Answer:

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

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Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
zvonat [6]

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80        Eqn 1

7x+y=29.30        Eqn 2

Subtracting Eqn 1 from Eqn 2

(7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50

Dividing both sides by 2

\frac{2x}{2}=\frac{4.50}{2}\\x=2.25

Putting x=2.25 in Eqn 1

5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/116715
  • brainly.com/question/11680012

#LearnwithBrainly

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