The table shows the average daily high temperature in a city each each week for eight weeks after the first day of spring. Which of the following is an appropriate line of fit for the data? Use the line of fit to find the approximate temperature on the first day of spring and the average rate of change in temperature.

Atemperature of 1.64◦f corresponds to answer in units of ◦c.

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?

Find the volume of the solid bounded by the plane z=0 and the paraboloid z=1-x^2 –y^2