The length of a rectangle is 2 inches more than 2 times the width. the perimeter is 76 inches. find the length and the width.

Length (L): 2w + 2

width (w): w

Perimeter (P) = 2L + 2w

                 76 = 2(2w + 2) + 2(w)

                 76 = 4w + 4 + 2w

                 76 = 6w + 4

                 72 = 6w

                 12 = w

Length (L): 2w + 2   = 2(12) + 2   = 24 + 2   = 26

width = 12 inches, length = 26 inches

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;