Y is directly proportional to x² and y = 50 when x =5, Find i) Equation connecting x and y
ii) The value of y when x= 4
iii) The value of x when y= 200 ​

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)

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:

Given: tangent if m 1 = 30° and m = 20°, then m = 10 40 80