Suppose we apply the translation map Tv to each point on the circle (x + 4)^2 + (y − 3)^2 = 25.
1 answer:
Answer:
(-4,3) , r = 5
Step-by-step explanation:
given,
equation of circle
(x + 4)² + (y − 3)²= 25.
general equation of the circle
(x - a)² + (y - b)² = r²
comparing the given equation from the general we get,
radius = r² = 25
r = 5
-a = 4 -b = -3
a = -4 b = 3
the center of the circle is (-4,3)
hence, all the specification is shown in the image attached below
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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).