Time headway in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. let x = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). suppose that in a particular traffic environment, the distribution of time headway has the following form.

f(x) = k/(x^7) ; x > 1

0 ; x< 1

(a) determine the value of k for which f(x) is a legitimate pdf.
(b) what is the probability that headway is within 1 standard deviation of the mean value?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

susie has 7 apples

answer: im gonna go with milli

step-by-step explanation: