∠A and \angle B∠B are vertical angles. If m\angle A=(5x-2)^{\circ}∠A=(5x−2) ∘ and m\angle B=(3x+12)^{\circ}∠B=(3x+12) ∘ , then find the value of x.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

A. the probability that a product is defective is 0.1. what is the probability that there will be 1 or less defective products out of the next 8 produced products b.the expected number of imperfections in the coating nylon for parachutes is 6 per 100 yards. what is the probability of finding 12 or fewer imperfections in 260 yards c.in a lot of 54 products there are 9 defective products. calculate the probability that not more than 1 is defective from a random sample of 17 products.

The dimension of the rectangular pool shown below are 40 yards by 20 yards