The average number of vehicles waiting in line to enter a sports arena parking lot is modeled by the function w (x) = x^2/2 (1-x), where x is a number between 0 and 1 known as the traffic intensity. Find the average number of vehicles waiting if the traffic intensity is 0.92 ...?

Question

Mathematics

Henry Joseph

19 September, 09:55

The average number of vehicles waiting in line to enter a sports arena parking lot is modeled by the function w (x) = x^2/2 (1-x), where x is a number between 0 and 1 known as the traffic intensity. Find the average number of vehicles waiting if the traffic intensity is 0.92 ...?

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Answers (1)

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Arabella Dunn · Answer 1

There are several information's that are already given in the question. Based on those given information's, the answer can be easily deduced.

w = 0.92

Then

w (x) = x^2/2 (1-x)

w (0.92) = (0.92) ^2/2 (1 - 0.92)

= 0.8464/0.16

= 5.29

From the above deduction, it can be concluded that the average number of vehicles waiting is 5.29.