A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s. Required:
a. Express the radius r (in cm) of this circle as a function of time t (in seconds).
r(t) = cm

b. If A is the area of this circle as a function of the radius.
Find A ∘ r.
(A ∘ r)(t) =

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played she found that the restaurant was playing country 11 times rock & roll 17 times and blues 8 times use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time mahnoor walks in.