A factory has fixed costs of $1275 per month. The cost of producing each unit of its produce is $2.50.Each unit sells for $10. The equations that model the cost and revenue for producing x units are shown
cost:C(x)=1275+2.5x
revenue:R(x)=10x
if the company sells every unit it produces, how many units must it sell in order to break even?

For each proportion find the unknown number x 1/5/8=×/15

Simplify each expression for 18, 20, and 21

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: