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Denzel Washington is "lording" his SAT score over his friend, Will Smith, who took the ACT. "You only got a 30 in math," he chortled, "while I got a 300 in math." Given that the SAT has a μ of 500 and a σ of 100, and the ACT has a μ of 20 and a σ of 5, what is wrong with Denzel Washington's logic (give the answer in both z scores and percentile ranks).

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