A stock will have a loss of 11.5% in a bad economy, a return of 2% in a normal economy, and a return of 25.2% in a hot economy. There is a 29% probability of a bad economy, a 32% probability of a normal economy and a 39% probability of a hot economy. What is the variance of the stock's returns

17.02

Step-by-step explanation:

Calculation for What is the variance of the stock's returns

First step is to calculate the E(R) Expected return

E(R) = .29(−0.115) + .32(0.02) + .39(0.252)

E(R) = .0713*100

E(R)=7.13%

Now let calculate the variance

σ2 = .29(−0.115 −0.0713.)^2 + 32(0.02−0.0713 )^2 + .39(0.252 −0.0713 )^2

σ2 = .1702*100

σ2=17.02%

Therefore the variance of the stock's returns will be 17.02%

62.5 paisa

step-by-step explanation:

4000*70 = 280000

280000-(2000*90) = 100000

4000-2400 = 1600

100000/1600 = 62.5

( give brainliest)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.