A rectangular garden sits next to a house. There is fencing on three sides of the garden and the fourth side is the house. There is a total of 21.5 meters of fencing
around the garden. The length of the garden along the house is 9 meters. Which
equation can be used to find the width, w, of the garden in meters?

A. 2w+9=21.5
B. 2w+18=21.5
C. 2w-21.5=9
D. 2w+21.5=9

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.