22. FIND THE ERROR Grant read the following axioms for a video game he is playing. • There are four keys hidden on each level.
• Each level ends when the player collects the third key.
• The game has 10 levels.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
• there are 40 keys in the game.
. he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?