If np greater than or equals 5np≥5 and nq greater than or equals 5nq≥5, estimate upper p (fewer than 5 )p(fewer than 5) with nequals=1313 and pequals=0.50.5 by using the normal distribution as an approximation to the binomial distribution; if npless than< 5 or nqless than< 5, then state that the normal approximation is not suitable. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

answer:

c.

step-by-step explanation:

can someone answer this question plz

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