Tessa surveyed the students at her school to find out if they like music and/or dance. the table below shows the results of the survey: like music do not like music total like dance 23 13 36 do not like dance 7 7 14 total 30 20 50 if a student likes music, what is the probability that student also likes dance? 76.7% 63.9% 46.0% 30.4%

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

A. 127 cm^2 b. 144.5 cm^2 c. 172 cm^2 d. 50 cm^2