If the economy booms, meyer& co. stock will have a return of 18.5 percent. if the economy goes into a recession, the stock will have a loss of 7.6 percent. the probability of a boom is 71 percent while the probability of a recession is 29 percent. what is the standard deviation of the returns on the stock?

11.84% approx.

Step-by-step explanation:

Expected return = Respective return × Respective probabilities

                           = (18.5 × 0.71) + (-7.6 × 0.29)

                           = 10.931%

Probability          Return          Probability ×(Return - expected return)²

0.71                         18.5               0.71×(18.5 - 10.931)² = 40.67573

0.29                        -7.6               0.29×(-7.6 - 10.931)² = 99.585409

                                                             Total                = 140.261139%

=

= 11.84319 ≈ 11.84% approx.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5