Today, isaac needs to walk his dog, water the garden, and feed his fish. d is the number of minutes it takes to walk his dog, g is the number of minutes it takes to water the garden, and f is the number of minutes it takes to feed his fish. the expression g+(d+f) describes the total number of minutes it takes issac to do all three task. we can also use the expression (g+d)+f to represent the same quanity

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?

Percy rides his bike 11.2 miles in 1.4 hours at a constant rate. write an equation to represent the proportional relationship between the number of hours percy rides, x,and the distance in miles, y, that he travels.

Consider the linear function that is represented by the equation y= 4x+5