Let S = {e1, e2} be the standard basis for the vector space R2, and let B = {v1, v2} be the basis that results when the vectors in S are reflected about the line y = x. a. Find the transition matrix PB →S. b. Let P = PB →S and show that P T = PS →B.

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

What is the ratio of the length of an object in yards to the length of the same object in miles?