Answer with Step-by-step explanation:
We are given that
LHS

To prove that


We know that

Using the formula


By using


LHS=RHS
Hence, proved.
First find the area of each wall. This is length*width which would be 12*8.5=102. There are four walls in the room because it’s a square so that would be 102*4=408. So the total area you need to paint is 408ft one gallon will cover 75ft so 408/75=5.44 gallons of paint.
Number employees N = 600
Then
Probability of Single + College degree = ?
Probability of single S = 100/600 = 1/6
Probability of College graduate G = 400/600 = 2/3
So then probability of both S and G is
Prob Single or Graduate = 1/6 + 2/3 = 1/6 + 4/6 = 5/6
. = 0.833
Then answer is
Probability of Single or Graduate = 5/6= 0.8333
Is also 83.33%
4/5= 4 x 2=8
5 x 2=10
5/8=5 x 3 =15
6 x 3= 18
Answer:
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, 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 level
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 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).