A 28 year-old man pays $243 for a one-year life insurance policy with coverage of $100,000. If the probability that he will live through the year is 0.9993, what is the 28 year-old man's expected value for the insurance policy?

  -$173

Step-by-step explanation:

The expected value is the sum of products of payments and their respective probabilities.

  He pays $243 with probability 1: (-$243)(1) = -$243

  He receives $100,000 with probability 1 -0.9993: ($100,000)(0.0007) = $70

The expected value for the man is ...

  -$243 +70 = -$173  . . . .  a cost of $173

4x and 6y

im not sure though

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .