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3 years ago

At a park, 80 out of the 200 people there are men. The rest are women. What percent of the people are women?

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

200 - 80 = 120. 120 are women.
120 ÷ 200 = .6
60% are women.

kogti [31]3 years ago

3 0

You subtract 200 by 80 and your answer would be 120 people are women

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2 years ago

uppose that Mary's utility function is U(W) = W0.5, where W is wealth. She has an initial wealth of $100. How much of a risk

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Step-by-step explanation:

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$E_{w}$ = (0.5 * $115) + (0.5 * $77)

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The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

$E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75$

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

$E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375$

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