The Meteorology Department of the University of Hawaii modeled the number of hurricanes coming within 250 nautical miles of Honolulu using a Poisson random variable with a mean (lambda value) of 0.45. Using this model calculate the probabilities that a) at least one hurricane will come within 250 nautical miles of Honolulu in the next year b) at most four hurricanes will come within 250 nautical miles of Honolulu during the next year.

true

step-by-step explanation:

idc

step-by-step explanation:

idk

chiken

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