# Consumer Mathematics

1. The marks in a chemistry course have a mean of 79 and a standard deviation of 12. The marks in a biology course have a mean of 70 and a standard deviation of 18. Emmanuelle has a mark of 90 in both classes. Which mark do you consider to be a higher grade?

2. Researchers have observed that regular smokers have an average lifespan that is normally distributed and is 68 years with a standard deviation of 10 years. What percent of smokers will live beyond age 76?

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#### Solution Preview

(1) z = (x - μ)/σ

For Chemistry, z = (90 - 79)/12 = 0.9167

For Biology, z = ...

#### Solution Summary

This solution provides the steps for solving the given consumer mathematics word problems.

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