Working with conditional probability.

There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table. Find the probability that: a)all three are defective. b)two are defective c)that none are defective

System of Linear Equations

I get a different answer every time I practice this Linear Equations problem. Problem: x + 2y - 7z = -1 3x + 7y - 24z = 6 x + 4y - 12z = 26

Simplex Method

I've been trying for hours, to do tableaus and noting the row operations. Problem: P= X1 + 2X2 +X3 Subject to constraints 3x1 + x2 + x3 <= 3 x1 - 10x2 - 4x3 <=20 x1>= 0 x2>=0 x3 >=0

Systems of Linear Equations: Word Problem

Problem: A cookie company makes three kinds of cookies, peanut butter, sugar,and oatmeal packaged in small, medium, and large boxes. The small box contains 1 dozen peanut butter and 1 dozen sugars; the medium box contains 2 dozen peanut butters, 1 dozen sugars, and 1 dozen oatmeal cookies; the large box contains 2 dozen peanut butter, 2 dozen sugars, and 3 dozen oatmeal. If you require 15 dozen peanut butter, 10 dozen sugars and 11 dozen oatmeal cookies, how many of each size box should you buy?

Calculating the amount of a sinking fund.

A Corporation issues 15,000,000 bonds in to be retired in 20 years. How much must be paid into a sinking fund up front at 4% compounded annually to pay off the total amount due?