Geraldo has a garden that is 10 feet X20 feet. he wants to put a walkway through the garden. Let w represent the width of the walkway in feet. which expression represents the total area of the walkway and the garden?
A. 200 + w²
B. 200 + 4w²
C. (20 + 2w) (40 + 2w)
D. (10 + 2w) (20 + 2w)
E. (10 + w) (20 + w)

correct answers below:

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

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;