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MAVERICK [17]
3 years ago
8

Identify the center and radius of the circle. Then write the equation of the circle.

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

Radius = 2

Step-by-step explanation:

x² + y² - 10x + 8y + 37 = 0

Regroup terms

(x² - 10x) + (y² + 8y) = -37

Complete the square

(x² - 10x + 5²) + (y² + 8y + 4²) = -37 + 5² + 4²

(x² - 5)² + (y² + 4)² = 2²

Center (5,-4)

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3 years ago
A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability th
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Answer:

The expected value for the insurance company is $392.20.

Step-by-step explanation:

The expected value of a random variable, <em>X</em> is:

E(X)=x\cdot P(X)

It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.

The probability that the male survives the year is, P(S) = 0.999172.

Then the probability that the male does not survives the year is:

P (S') = 1 - P (S)

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P (S') = 0.000828

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The amount the company owes the male if he does not survives is,

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Compute the expected value for the insurance company as follows:

E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')

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Thus, the expected value for the insurance company is $392.20.

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