Ateacher is assessing the correlation between the number of hours spent studying and the average score on a science test. the table below shows the data: number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4 score on science test (y) 57 62 67 72 77 82 87 92 97 part a: is there any correlation between the number of hours students spent studying and the score on the science test? justify your answer. (4 points) part b: write a function which best fits the data. (3 points) part c: what does the slope and y-intercept of the plot indicate? (3 points)

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=9, and ac=12, find hc.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Which statement justifies why angle ebc measures 90?