Mrs. Curtis wants to buy online tickets for a concert. Two options are given here. Option 1: $53 for each ticket plus a shipping fee of $10

Option 2: $55 for each ticket and free shipping

What is a system of equations to represent the costs of the tickets?

Express your equations in the form of y=mx+b where x is the number of tickets purchased and y is the total cost.

Name the most appropriate metric unit for each measurement

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?

Identify the parent function that can be used to graph the function f(x)=3(x-9)2