a construction company submitted bids for three contracts. the company estimates that it has a 20% chance of winning any given bid. let x represent the number of bids the company wins. here is the probability distribution of x along with summary statistics: x = # of bids won 0 1 2 3 p(x) 0.512 0.384 0.096 0.008 mean: hx=0.6 standard deviation: ox 0.69 it costs the company a total of $2,000 to submit these bids, and they stand to gain $10,000 for each bid they win. let v represent their net gain from submitting these three bids. what are the mean and standard deviation of v? khan academy

ur mom

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

she will travel a distance in the range of 3 - 11 miles