For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x= 6.3, y = 5.9, r = - 0.245, P-value = 0.087, and y=7.74 -0.285x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 6. Use a 0.05 significance level. The best predicted value of y when x = 6 is (Round to one decimal place as needed.)

m² = K 3 H 3 T

4e 3ry Find

Let AABC be a triangle. Fix the points X, Y, and Z on AB, AC, and BC, respectively (as in the figure) such that BX = - = CZ AY = 4. Assume that the area of AXYZ is one and calculate the area of AABC. ХА YC ZB

1 Find d.r for 1 3 112