There are eight contestants in an obstacle course race . You and your friend are two of the contestants . Contestants run the course one at a time and the order in which the contestants run the course is chosen at random . Find the probability that you go first and your friend goes second . Write your answer as a fraction in simplest form .

The parabola x= √y-9 opens: a.)up b.)down c.)right d.)left

Find the value of x for which the lines are parallel.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.