-3(4r - 8) = -36
Mutiply the bracket by -3
(-3)(4r)(-3)(-8)= -12r+24
-12r+24= -36
move +24 to the other side
sign changes from +24 to -24
-12r+24-24= -36-24
-12r= -60
divide by -12
-12r/-12= -60/-12
r= 5
Answer: r= 5
The domain is defined as all the possible x values. The graph extends to the left and to the right without bounds so the domain is All Real Values of x.
It can also be written as (-∞, ∞) This is called interval notation.
Note that the minimum value of f(x) is -4 so the range is [-4, ∞). (All real values of y equal to or greater than -4)
I’m pretty sure the answer is 12
- The margin of error of the proportion given is of 2.9%.
- Applying the margin of error, the confidence interval is (29.1%, 34.9%).
-----------------------
The margin of error of a confidence interval of a proportion
in a sample of size n, with a confidence level of
, is:

In which z is the z-score that has a p-value of
.
The confidence interval is:

In this problem:
- Poll of 1012 people, thus
. - 32% keep a dog, thus

95% confidence level
Thus
, z is the z-score that has a p-value of
, so
.
The margin of error is:

As a percent, 2.9%, as 0.029 x 100% = 2.9%.
Now for the confidence interval, which is <u>percentage plus/minus margin of error</u>, thus:


The confidence interval is (29.1%, 34.9%).
A similar problem is given at brainly.com/question/16807970