document.write( "Question 1188632: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 46 and a standard deviation of 11. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 35 and 79?
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Algebra.Com's Answer #819758 by Shin123(626) $\"\"$ $\"About$

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The z-scores are $\"%2835-46%29%2F11=-1\"$ and $\"%2875-46%29%2F11=3\"$ respectively. By the empirical rule, 68% of data falls within 1 standard deviation of the mean, and 99.7% falls within 3. Since the normal distribution is symmetrical around the mean, 34% of data falls between $\"46-1%2A11=35%7D%7D+and+%7B%7B%7B46-0%2A11=46\"$ , and 49.85% of the data falls between $\"46%2B0%2A11=46\"$ and $\"46%2B3%2A11=79\"$ .
\n" ); document.write( "Therefore, 34%+49.85%=83.85% of 1-mile long roadways have between 35 and 79 potholes. \n" ); document.write( "

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