Question 1. determine whether the vectors u and v are parallel, orthogonal, or neither. u = < 10, 6> , v = < 9, 5> ? question 2. find the angle between the given vectors to the nearest tenth of a degree.

u = < 6, -1> , v = < 7, -4>

20.3°/ 10.2°/ 0.2°/ 30.3° question 3. express the complex number in trigonometric form. -6i 6(cos 0° + i sin 0°) 6(cos 270° + i sin 270°) 6(cos 180° + i sin 180°) 6(cos 90° + i sin 90°)

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: