Ajuice company gives prizes to anyone finding specially marked caps on its bottles. you and your friends buy 53 bottles of juice. you find 2 of the bottles have a winning cap. what is the experimental probability of winning a prize in the contest? express your answer as a fraction in simplest form.

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.

What is the total area of the figure?

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?