50 points! roland must purchase plywood and two-by-fours for a construction project. each sheet of plywood costs $12 and each two-by-four costs $2.50. roland can spend at most $100, and he must purchase at least 4 sheets of plywood. let x represent the number of sheets of plywood purchased. let y represent the number of two-by-fours purchased. which inequalities are among the constraints for this situation? select each correct answer. y ≥ 4 2.5x + 12y ≤ 100 x ≥ 4 y > 0 x + y ≥ 100 12x + 2.5y ≤ 100

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: