Two sides of a triangle have lengths 8 ſt and 12 ſt.
describe the possible lengths of the third side.

4<x<20

Step-by-step explanation:

the missing side must be between these two values because it is the difference of 8 and 12 and the sum of 8 and 12. we do this calculate because to make a triangle, any two sides must add up to be greater than the third side. so it can't be 4 because 8+4= 12 and the sides can't be equal (must be greater) and it can't be 20 because 8+12 = 20 and they can't be equal. so it must be anywhere between 4 and 20.

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;