An algebra configuration where the largest tile is labeled negative x squared, 3 tiles are labeled plus x, where each tile is half the size of the largest tile, and 4 tiles labeled minus that are one-quarter the size of the largest tile. Which polynomial represents the algebra tile configuration shown? x2 + 3x + 4 x2 + 3x − 4x −x2 − 7 −x2 + 3x − 4

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?