students at a local high school are taking a speed math test to try and quality for the national math competition. the score of the test has an approximately normal distribution with a mean of 65 points and a standard deviation of 12 points. any student who earns at least 82 points qualifies for the national competition.

A. what is the related z- score for the data value x=82? (keep answer to four decimal places)

B. what percent of students reach 82 points needed to qualify for the national competition? (round to three decimal places then convert to a percent )