Use a five-step plan to solve the following word problem. show all five steps in your response: doug is twice anne's age. doug is 34 years old. how old is anne? doug is twice anne's age. doug is 34 years old. how old is anne?

Is fgh ~ jkl? if so, identify the similarity postulate or theorem that applies.

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

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?