A. 18+2 = 20 abs 18-2= 17
Answer:

If you compare this to
, then
and
.
Step-by-step explanation:
We are given
and we are asked to find the value of
.
So we will need to find
.

Square both sides:

Expand using identity:
.



Let's go back to the full
.




If you compare this to
, then
and
.
Answer:
True. That is a function.
Step-by-step explanation:
A function just means that every input has only one output. The simpler way to do these is the vertical line test. Draw a vertical line anywhere on the graph and see if the vertical line is intersected in two places. If the vertical line is crossed twice, the graph isn't a function.
Answer:
word form: One hundred three million seven hundred twenty seven thousand four hundred and ninety five.
expanded form: 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5.
Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:

Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:

And replacing we got:

Now we can find the second moment given by:

And replacing we got:

And the variance would be given by:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:
