Dan, an office manager, wants to replace the catering company in charge of the office lunch. The new company promises the same quality of food at a smaller cost. Before he makes the switch between companies, Dan sends out a satisfaction survey of the old company to a sample of 303030 employees. After a month with the new company, he sends out the same satisfaction survey to the same group of employees. Each survey produces a satisfaction rating. Dan wants to test if the results suggest a significant difference in the average satisfaction rating between the old and the new catering companies. Assume that the necessary conditions for inference were met. Requried:
What is the most appropriate test and alternative hypothesis?

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Triangle inequality theorem state if each set of three numbers can be the lengths of the sides of a triangle. 1. 9, 8, 22. 2. 5,10,12. 3. 7,10,22. 4. 4,11,12. 5. 11,9,10. 6. 10,4,19. 7. 3,12,10. 8. 4,3,2. 9. 6,5,13. 10. 7,12,20. me .

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?