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).
Answer:
d = 5
Step-by-step explanation:
-2(3-d)=4
-6+2d=4
2d=10
d=5
Answer:
0.13
Step-by-step explanation:
V=a3=0.53=0.125
Answer:
The length of AM is 26.50 units.
Step-by-step explanation:
Given information: AB = BC, BM = MC
, AC = 40, ∠BAC = 42º.
Since two sides of triangle are equal, therefore the triangle ABC is an isosceles triangle.
The corresponding angles of congruents sides are always equal. So angle C is 42º.
According to the angle sum property the sum of interior angles is 180º.

Law of Sine






Therefore the length of AB and BC is 26.91.
Since M is midpoint of BC, so

Use Law of Cosine in triangle ABM to find the value of AM.




Therefore the length of AM is 26.50 units.