Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation
is

The sample size
is:
.
For the sample of population B, the standard deviation
is

The sample size
is:
.
Then the standard deviation for the difference of means has the following form:

Finally

The length of DE is 3 bc they are dilated at a ratio of 1 : 1.5
You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

Answer: (0,-1) , (1,0), (2,1) hope this can help you.
Step-by-step explanation: