Answer:
Well ummmm, what are the answers and the question?
Step-by-step explanation:
Note: The expression is missing. Consider the expression is
.
Given:
The expression is

To find:
Factor form of the given expression by using GCF.
Solution:
We have,

Factors of each term:


The common factors are 2, 2 and 2. So,


Taking out the greater common factor (GCF) in the given expression, we get

Therefore, the required expression is
and the correct option is C.
Answer:
The margin of error is 3.97 percentage points.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The margin of error is the upper limit subtracted by the proportion, or the proportion subtracted by the lower limit. They are the same values.
So the margin of error is 0.5997 - 0.56 = 0.56 - 0.5203 = 0.0397 = 3.97 percentage points.
Answer:
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:

So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:

Step-by-step explanation:
For this case we have the following data:
16 17 11 21 15 14 17 18 19
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:

So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:
