Roberto buys a car. Because he buys the car from his cousin, he does not have to pay interest. He makes a down payment of $3,000 and pays the rest with monthly payments. The equation that represents the amount owed on the car can be represented by the equation y=−150x+2,500, where x is the number of months that Roberto pays off the loan, and y is the amount he still owes. What does 2,500 represent in this equation? A) The original cost of the car. B) The amount Roberto pays per month. C) The down payment that Roberto makes. D) The amount Roberto has to pay after the $3,000 down payment.

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: