What is the reason for each step in the solution of the inequality? −2(x+3)−4> 4x+30 select the reason for each step from the drop-down menus. −2(x+3)−4> 4x+30 given −2x−6−4> 4x+30 −2x−10> 4x+30 −6x−10> 30 subtraction property of order −6x> 40 x< −203 division property of order

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?