The senate in a certain state is compromised of 58 republicans, 39 democrats, and 3 independents. how many committees can be formed if each committee must have 3republicans and 2 democrats?

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Multiplying fractions by whole number 5 x 1/3=?