Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:

In which
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Answer:



Step-by-step explanation:
r = Radius
h = Height
Volume of cylinder = 

Surface area is given by

Differentiating with respect to radius we get

Equating with zero we get


So, the value of the function is minimum at 

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.
Surface area

The minimum surface area is
.
Answer:
11
Step-by-step explanation:
x+y=8 y=3
x+3=8
-3 -3
x=11
Answer: x = 5
Step-by-step explanation:
Use Pythagorean's Theorem

Lol that’s good to hear I’m glad