Explain how the graphs of the two functions below is a way of providing evidence of the double angle identity for sine. y = sin(2x)
y = 2(sinx)(cosx)

5,600 x 10^3 = a) 560 b) 5,000,600 c) 5,600,000 d) 56,000

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Ajar of gumballs contains 4 reds, 2 greens, and 6 blues. what is the probability of getting two blues in a row without replacement?