Michael and Christopher were supposed to add up the terms of the geometric sequence 1,3,9,…,3^20

and then find the remainder when divided by 40.

Michael did the question correctly and got the answer M, but Christopher took the remainders of each term separately and then added all these remainders up to get the incorrect answer C. What is C−M?

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points

Vertical angles must check all that apply

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.