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The Average Number of Vehicles Waiting in Line at a Toll

question 93

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The average number of vehicles waiting in line at a toll booth of a super highway is modeled by the function n(x) =x20.5(1x) \mathrm { n } ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } } { 0.5 ( 1 - \mathrm { x } ) } , where x is a quantity between 0 and 1 known as the traffic intensity. To the nearest tenth, find the average number of vehicles waiting if the traffic intensity is .81.


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