Luz drives at an average speed of 60 miles per hour.
She has driven for 2 hours and has traveled a distance of 120 miles.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles.

Use this information to complete each statement about the linear equation.

The slope of the linear equation is
.

One point on the graph of a linear equation will be .

This linear equation can be written as .

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?