A vector with initial point at the origin and the terminal point on a unit circle can be written in component form as (cos, sin 0). Write down the vectors in component form with terminal end at P, Q, R, S, T, U, V, W and the initial point at (a) the origin. (b) the point U. U T V S 150° 180° 120° 210⁰ W 240° Y R 90° 270° (0, -1) 60° 30° 300° 360° 330° P (1,0) X

Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a =0.05. Correlation coeff, r: 0.966175 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H1: p (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= O B. There are two critical values at r= + Is there sufficient evidence to support the claim…