Two agricultural sciences majors have been collecting data on tomatillo plants. Their data shows that when they puts 20 tomatillo plants in an acre plot, each plant yields 9 kilograms of fruit. For each additional plant (up to 65 ), the yield of each plant decreases by 0.1 kilograms.
Write a function f(x) that gives the TOTAL yield of the garden in kilograms of tomatillos, where x is the number of tomatillo plants.
How many tomatillo plants should these students put in an acre plot to maximize the total yield?
What is the maximum mass of tomatillos they can grow in an acre?

Which statements describe the solutions to the inequality x< -20 check all that apply. there are infinite solutions. each solution is negative. each solution is positive. the solutions are both positive and negative. the solutions contain only integer values. the solutions contain rational number values.

What fraction is equivalent to 0.46464646··· a. 46⁄999 b. 46⁄100 c. 46⁄99 d. 23⁄50

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?