On a certain day, the probability that the weather is rainy is 0.40, the probability that it is windy is 0.30, the probability that it is rainy and windy is 0.10. The probability that it is snowy given that it is rainy is 0.10, the probability that it is snowy given that it is not rainy is 0.05. Find the probability that the weather on this day is: 1) neither rainy nor windy. 2) rainy only or windy only. 3) not windy given that it is not rainy. 4) snowy. 5) rainy given that it is snowy.

you should at least use a calculater

step-by-step explanation:

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

(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