James takes a ruler and measure the width of the piece of paper. he find that the actual width is 48.8 centimeter. find the width of each strip. how can you check if your answer is reasonable ?

Lucy spent $165 in december using a new credit card. in january, she began paying between $15 and $25 each month towards her account balance.

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:

Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. there are 132 women at the circus show. how many children are at the circus show?