The heat evolved in calories per gram of a cement mixture is approximately normally distributed. the mean is thought to be 100 and the standard deviation is 2. we wish to test h0: 100 versus with a sample of n 9 specimens. (a) if the rejection region is defined as or find the type i error probability . (b) find for the case where the true mean heat evolved is 103. (c) find for the case where the true mean heat evolved is 105. this value of is smaller than the one found in part (b). why

not sure but it may be b, as i said i'm not sure.

(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