Recent General Social Surveys asked subjects, "How long have you lived in the city, town, or community where you live now?" The possible responses were (less than one year, 1, 2, 3, 4, ...). The responses of 1415 subjects had a mode of "less than one year," a median of 16 years, a mean of 20.3 years and a standard deviation of 18.2 years. b) Based on your answer in (a), is it valid to construct a 99% confidence interval for the true mean for the population represented by this sample? If not, explain why not. If it is valid, do so and interpret normal.

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240