Answer:
A. 4
Step-by-step explanation:
72 = 2 * 2 * 2 * 3 * 3
44 = 2 * 2 * 11
GCF = 2 * 2
GCF = 4
They simplify operations when the systems are not encumbered by the variables.
Answer:

Step-by-step explanation:
I will assume that the shaded region is the fire pit
Given


Required
Determine the area of the fire pit
First, calculate the area of the big circle.

Area of the small is:

The area of the pit is:







Answer:
x = 8
Step-by-step explanation:
log(5x-4)-log(x+1)=log 4
log [ (5x - 4) / (x+ 1) ] = log 4
[ log (a/b) = loga - logb]
(5x - 4 ) / ( x + 1) = 4
(5x - 4) = 4x + 4
5x - 4x = 4 + 4
x = 8
Hope it will help :)❤
Answer:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
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 for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).