Working with combinations.

An admission test given by a university contains 10 true-false questions. Eight or more of the questions must be answered correctly in order to be admitted. (a) How many different ways can the answer sheet be filled out? (b) How many different ways can the answer sheet be filled out so that 8 or more questions are answer ...continues

Sets: Counting Techniques

In a survey of 125 college students, it was found that of three newspapers, the Wall Street Journal, New York Times, and Chicago Tribune: 60 read the Chicago Tribune 40 read the New York Times 15 read the Wall Street Journal 25 read the Chicago Tribune and New York Times 8 read the New York Times and Wall Street Jou ...continues

Probability

Problem: If E and F are events with P(E U F)= 5/8, P(E U(This U suppose to be upside down or intersect F)=1/3 and P(E) = 1/2 find a.) P(E')or the compliment of E b.) P(F) c.) P(F')or the compliment of F

Probability

Problem: In a certain population of people, 25% are blue-eyed and 75% are brown-eyed. Also, 10% of the blue-eyed people are left handed and 5% of the brown-eyed people are left-handed. a.) What is the probability that a person chosen at randon is blue-eyed and left-handed? b.) What is the probability that a person chos ...continues

Marble probability

A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that a.) Both are blue b.) Exactly 1 is blue c.) At least 1 is blue

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 pean ...continues

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?