A recent study on the wave patterns in Baler, Aurora took place. High tide is at 6:00 am with a height of 13 ft. The low tide was recorded at 3 ft at
6:00 PM. The wave pattern for the day followed a sinusoidal pattern with a
period of 24 hours, starting midnight.
(a) Sketch the graph of the wave heights.
(b) Which function (y = a sin b(x-c) + d ory a cos b(x - c) + d) will you
use to model this situation?
(c) What are the values of a, b, c, and d? Hint: a is the amplitude, period
c is the phase shift, and d is the mid height?
(d) What is the equation for your graph?
(e) How high is the wave at 12 noon?​

In the diagram, the ratio of ab to ae is (1/2) . what is the ratio of the length of to the length of ?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

What is the value of p in the equation y^ = -4x?