The rocky mountain district sales manager of rath publishing inc., a college textbook publishing company, claims that the sales representatives make an average of 40 sales calls per week on professors. several reps say that this estimate is too low. to investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 42. the standard deviation of the sample is 2.1 calls. using the 0.05 significance level, can we conclude that the mean number of calls per salesperson per week is more than 40? h0: μ ≤ 40 h1: μ > 40

(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

should have been evaluated with one odd value and one even value. the expressions have equivalent values when . when , the first expression has a value of 3 and the second

step-by-step explanation: