3x+5x/4≤34
leat common multiple=4
12x+5x≤136
17x≤136
x≤136/17
x≤8
Answer: x≤8 or (-∞,8]
ANSWER

Or

EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.

We divide through by 4 now;

This is now in the form;

where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of
.
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,

When we substitute the slope we have;

We substitute the point.
to find c.



We substitute c to obtain;

Or

True! they are corresponding angles.
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
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 z-score that has a p-value of
.
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).