The table below shows measurements (in inches) from cubes with different side lengths. which pairs of variables have a linear relationship? check all that apply. side length and perimeter of 1 face perimeter of 1 face and area of 1 face surface area and volume area of 1 face and surface area side length and volume

Find the nonpermissible replacement for binthis expression.b2/5b +5

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?

What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?