Acompany that makes fleece clothing uses fleece produced from two farms, northern farm and western farm. let the random variable x represent the weight of fleece produced by a sheep from northern farm. the distribution of x has mean 14.1 pounds and standard deviation 1.3 pounds. let the random variable y represent the weight of fleece produced by a sheep from western farm. the distribution of y has mean 6.7 pounds and standard deviation 0.5 pound. assume x and y are independent. let w equal the total weight of fleece from 10 randomly selected sheep from northern farm and 15 randomly selected sheep from western farm. which of the following is the standard deviation, in pounds, of w?
(a) 130.5
(b) 1.32 +0.52
(c) v10(1.3)' + 15(0.5)2
(d) v102 (1.3)2+152 (0.5)2 10 15

tangent

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

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.