The line y = mx + 1 intersects the circle x^2 + y^2 – 19x - 51 = 0 at the point P(5, 11). a) Find the coordinates of the point Q where the line meets the curve again.

b) Find the equation of the perpendicular bisector of the line PQ.

c) Find the x-coordinates of the points where this perpendicular bisector intersects the circle.

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average