Acardboard box manufacturing company is building boxes with length represented by x+ 1, width by 5- x, and height by x -1. the volume of the box is modeled by the function below v(x) 18 14 10 6 24 x 5 6 2 2 3 -2 -6 over which interval is the volume of the box changing at the fastest average rate? [1,2] a. [1,3.5 b. c. [1,5] r0,3.51 d

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?

Consider this expression and the steps to evaluate it. 4^5(−2)^9/4^8(−2)^3 1. apply the quotient of powers:      (−2)^a/4^b 2. evaluate powers:           c/d select the value of each variable. a = _ b = _ c = _ d = _

Build is 120 wide 20 feet high 48 feet long how many cubic feet and the volume