Answer:
DC = 21 ; BC = 26
Step-by-step explanation:
The perimeter of a rectangle is given by :
P = 2(length + width)
2x + 3
3x - 1
Perimeter, P = 94
Hence,
94 = 2(2x +3 + (3x - 1))
94 = 2(2x + 3 + 3x - 1)
94 = 2(5x + 2)
94 = 10x + 4
94 - 4 = 10x
90 = 10x
x = 90 /10
x = 9
DC = 2x + 3 = 2(9) + 3 = 18 + 3 = 21
BC = 3x - 1 = 3(9) - 1 = 27 - 1 = 26
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).
