The given quadratic equation is to be solved by completing the square. The first 2 steps are shown. Given: 3x2−24x−5=0

Step 1: x2−8x−53=0

Step 2: x2−8x=53

What is the next step in completing the square?

Use the on-screen keyboard to enter a number in each box to complete Step 3.

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?

Evaluate each expression. determine if the final simplified form of the expression is positive or negative -42 (-4)2 42

What is the solution of the equation? 35√(x+2)3+3=27