f a translation maps ∠I onto ∠K, which of the following statements is true? Triangles HGI and JGK; point H is between points J and G on segment JG, and point I is between points G and K on segment GK. segment HI is twice the measure of segment JK. segment GH is twice the measure of segment GJ. Triangles ΔGHI and ΔGJK are not similar. ∠H ≅ ∠J

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?