Let the random variable X have probability density function f(x) = 1 π , − π 2 < x < π 2 . Find the probability density function of Y = sin X by (a) cumulative distribution function technique, (b) transformation technique. Hint: The derivative of x = arcsin y is dx dy = √ 1 1−y 2 .

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

The holiday party will cost $160 if 8 people attend.if there are 40 people who attend the party, how much will the holiday party cost

This is about circle theorems. someone asap : (