Answer:
Step-by-step explanation:
all real numbers that are greater than -22 : x > -22
interval notation: ]- 22 ; + ∞ [
Step-by-step explanation:

Answer:

Now we can find the second central moment with this formula:

And replacing we got:

And the variance is given by:
![Var(X) = E(X^2) - [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%20%5BE%28X%29%5D%5E2)
And replacing we got:

And finally the deviation would be:

Step-by-step explanation:
We can define the random variable of interest X as the return from a stock and we know the following conditions:
represent the result if the economy improves
represent the result if we have a recession
We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

And replacing the data given we got:

Now we can find the second central moment with this formula:

And replacing we got:

And the variance is given by:
![Var(X) = E(X^2) - [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%20%5BE%28X%29%5D%5E2)
And replacing we got:

And finally the deviation would be:

Answer:
⅘ or 0.8
Step-by-step explanation:
Hypotenuse² = 3² + 4²
Hypotenuse = 5
Sin(θ) = 4/5
Answer:
There is a zero percent chance of him giving his friends two green pens.
Step-by-step explanation:
He only has One pen.