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 .

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Cal's go cart has a gas tank with the dimensions shown below. he uses a gas can that holds 11 gallon of gas, to fill the go cart tank. 11 gallon = 231 inches^3 how many full gas cans will it take to fill the go cart's gas tank?

Subject: geometryneed with 6 and 7