Mathematics Homework Solutions

Finite Questions

What monthly payment is needed to pay off a loan of $500 amortized at 12% compounded monthly for 2 years? The following shows the weather conditions each day for the last 100 days: Snowy days: 5 Rainy days: 20 Cloudy days: 40 Sunny days: 35 Based on this data: a.) What is the probability that tomorrow will be snow ...continues

Finite Math

Maximize P = x1 + 2x2 + 3x3 using the simplex method. subject to the constraints 2x1 + x2 + x3 < 25 2x1 + 3x2 + 3x3 < 30 x1 > 0, x2 > 0, x3 > 0, A company ...continues

Finite Math

Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that: a. Both cards are aces? b. At least one card is black? Using the following sample: 28, 30, 24, 30, 32, 40, 22, 25, 26, 34 a. Find the mean. b. Find the median. ...continues

Probability

A bag cotains10 nickels, 5 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a quarter, a nickel, and a quarter in that order? An urn contains three red balls numbered 1, 2, 3, four white balls numbered 4, 5, 6, 7, and three black balls numbered ...continues

Matrices

If A and B are 3X3 matrices with Det(a)=2 and Det(b)=3 ... if possible evaluate the following expressions 1 Det(2AB) 2 Det(A^4 B^T a^-1) Where T is transpose and -1 is INVERSE

What is the probability of getting exactly three correct answers.

A multichoice test in which each question has four choices, only one of which is correct. Assume that nine questions are answered by guessing randomly. What is the probability of getting exactly three correct answers.

How many different values are possible for the random variable x?

Assume that the box contains balls numbered from 1 through 22, and that 3 are selected. A random variable x is defined as 3 times the number of odd balls selected, plus 4 times the number of even. How many different values are possible for the random variable x?

Solve the system of linear equations

Solve the following system of linear equations: 3x + 3y + 5z = -5 x + 4y + 10z = -7 10x + 18y + 39z = -31

Input-Output Matrix

For the input –output matrix A, Find the output required to meet the demand D. See attached file for full problem description.

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