In the figure, line L1 is parallel to line L2. I’d the measure of <2 = 43°, what is the measure of <8 and why?

A. 43°, alternate exterior angles are congruent.
B. 137°, same side exterior angles are congruent.
C. 137°, corresponding angles are supplementary.
D. 43°, vertical angles are congruent.

Find the domain of the following expression: 1/(√x)-2

Drag the tiles to the correct boxes to complete the pairs. using the properties of integer exponents, match each expression with the correct equivalent expression.

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?