Pls solve the given number problem. the sum of two consecutive integers is 51. what are the numbers? a) 25 & 26 b) 26 & 27 c) 24 & 25 d) 20 & 31

If chord ab is congruent to chord cd, then what must be true about ef and eg?

Find the maximum value of p= 4x + 5y subject to the following constraints :

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: