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:

We are given with the expression <span> B = 703 * w / h^2. To isolate w in the function, we multiply the whole equation by h^2. This results to B h^2 = 703 w. Next, we divide the equation by 703 to isolate w. The final expression of w becomes w = B h^2 / 703 </span>
Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
Answer: 9 miles
Step-by-step explanation:30 divided by 6 is 5. So the was biking 1 mile every 5 minutes. 45 divided by 5 is 9.
Answer:

Step-by-step explanation:
If w = -2, x = 3, y = 2 and z = -1/2 then find the value
Given:
Formulas:
- a²-b² = (a+b)(a-b)
- (-a)² = a²
- (-a) × (-b) = ab
- 1/(a/b) = b/a
To find:




