During a typical Pennsylvania winter Interstate 80 averages 1.6 potholes per 10 miles. A certain county is responsible for repairing potholes in 30-mile stretch of the interstate. Let X denote the number of potholes the county will have to repair at the end of the next winter. a. The distribution of the random variable X is (choose one)
1. binomial
2. hypergeometric
3. negative binomial
4. Poisson.

b. Give the expected value and variance of X.
c. Find P(4 < X < =9).
d. The cost of repairing a pothole is $5000. If Y denotes the county's pothole repair expense for next winter, find the mean value and variance of Y.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

∈3,600

step-by-step explanation:

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷   ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?