Line segment AB has endpoints A(–4,–5) and B(1,7). Using the Distance Formula, determine the exact length, in simplest form, of $$AB.

(a) Before simplifying, write a correct equation immediately after plugging into the Distance Formula:

(b) After solving your equation, record the exact, simplified length of `\overline{AB}`:

When using the linear combination metho e linear combination method to solve a system of linear equations, the four options are:

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

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?