In Chapter 7 of Devore, we learned about two-sided confidence intervals as well as one-sided confidence bounds. In this unit’s Chapter 8 reading, we’re learning about the various forms that Null and Alternative hypotheses can take, and how they can be viewed as relating to each other. Describe your intuitive sense of how the ways we discussed confidence intervals and bounds will be helpful when testing hypotheses of the types and relationships covered in the text. Discuss how you are starting to see (or not, if you still feel that way) statistics being connected to the kinds of real-world problems you expect to encounter as an engine

(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

step-by-step explanation:

gym b charges $1.05 less per hour than gym a.