MODELING WITH MATHEMATICS In 1960, the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.

a. Write a linear model that represents the world record (in minutes) for the men's mile as a function of the number of years, T, since 1960.

y=

b. Use the model to estimate the record time in 2000 and predict the record time in 2020

2000: Minutes

2020: Minutes

Pat listed all the numbers that have 15 as a multiple write the numbers in pats list

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.