(1.2: Solving linear equations) Consider the following linear system withaandbunknown non-zero constants. x1−3x2+x3=42x1−8x3=−2−6x1+ 6x2+ax3=b(a) For what values ofaandbdoes the system have infinitely many solutions?(b) Given an example ofaandbwhere the system has exactly one solution.(c) Give an example ofaandbfor which the system has no solutions.

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