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Percent of all errors will the proofreader catch

Spelling errors in a text are either "nonword errors" or "word errors." A nonword error produces a string of letters that is not a word, as when "the" is typed as "teh." Word errors produce the wrong word, as when "loose" is typed as "lose." Nonword errors make up 30% of all errors. A human proofreader will catch 94% of nonword errors and 73% of word errors.

What percent of all errors will the proofreader catch? (Hint: make a tree diagram.) (Round your answer to the nearest whole answer.)

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## Q : Cutoff time for a runner to qualify

The mile time of all potential runners in this region are normally distributed with a mean of 8.2 minutes and a standard deviation of 1.5 minutes. What is the cutoff time for a runner to qualify for the regional track championship?