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: Graph first and fourth.
Step-by-step explanation:
If a function is reflected through line y=x,, we obtained an inverse function of that function.
In first graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
In second graph,
The function is shifted horizontally,
This is why we did not get an inverse function.
In third graph,
The function is reflected through x-axis,
This is why we did not get the inverse of the function.
In fourth graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
Is the answer ur looking for 25
Answer:
-5
Step-by-step explanation:
if r was 7 it would be 7-12 so 7 - 12 is -5
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