The revenue from selling movie tickets is given by the function r(t) = 10t, where "t" is the number of tickets sold. the theater holds a maximum of 200 people. the profit is a function of the revenue "r" and is given by the function p(r) = 0.20r. what is the domain of the profit function p(r)?

a){0, 1, 2, 3, , 200}b){0, 10, 20, 30, , 2000}c){any nonnegative real number ≤ 200}d){any nonnegative real number ≤ 2000}

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Which graph represents the linear function below? y-3=1/2(x+2)