You and a friend go to the movies and split the cost of the movie tickets and snacks. you pay the bill. you tell your friend he owes only $9 because you owed him $4 from the last time you went to the movies. how much was the total bill? let b represent the total bill. identify the correct equation to represent this problem and the correct solution.

Which of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c

What is the solution to the system of equation graphed belowa.(0,-4)b.(2,5),1),-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?