(negative binomial) a company requires 6 candidates with a rare skill set. as there is a scarcity of local candidates perfectly matching the required skill set, the company decides to conduct a walk-in interview until all 6 candidates have been found. if the probability of a candidate who matches perfectly is 0.05, find the expected number of candidates interviewed, assuming that several candidates whose skill set is not completely matching also walks-in.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?