Write a function that represents the exponential function f(x) = 3x after a vertical stretch by a factor of 6, Horizontal shift right 2 units, and a reflection across the x-axis?

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?

3x = 729 solve for x plz . it's urgent. will mark

John has 1/2 pound of oranges to share with julie. if they share the oranges equally, how much will each of them have?