1.0% exactly 0.9743. I hope I helped!
Answer:

Step-by-step explanation:
We have to vertically stretch the function
by a factor of 2.
Then the function will become
.
Then it is reflected across the x-axis.
So, the new function will be
.
Now, if the function is shifted down 3 units then the final function will become
(Answer)
Answer:

Now we can find the second moment with this formula:

And replacing we got:

The variance would be given by:
![Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%2021.4%20-%5B3.8%5D%5E2%20%3D%206.96)
And the deviation would be:

Step-by-step explanation:
For this case we have the following distribution given:
X 1 2 7
P(X) 1/5 2/5 2/5
We need to begin finding the mean with this formula:

And replacing we got:

Now we can find the second moment with this formula:

And replacing we got:

The variance would be given by:
![Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%2021.4%20-%5B3.8%5D%5E2%20%3D%206.96)
And the deviation would be:

Answer:
Yes, they are equivalent.
Step-by-step explanation:
- To see if they're equivalent, you have to solve them. Start with the first one. Steps are below.
- Apply the distributed property: 8 + 12
- 8 + 12 = 20
For second expression:
- 4(2) = 4 × 2 = 8
- 4(3) = 4 × 3 = 12
- Put them together: 8 + 12
- 8 + 12 = 20
Making a conclusion:
Because they both have the same answer, they are equivalent expressions.
I hope this helps!