Mathematics Homework Solutions

Conditional probability, combinations, permutations

Find the number of possible combinations of picking 2 items out of 6. ------------------------------------------------------------------------------------------------------- How many permutations of answers are possible in a true-false test consisting of 10 questions? ------------------------------------------------- ...continues

Algebra/Linear Program

See attached file for full problem description. 1. Find the equation of the line shown: 2. A bank loaned $15,000, some at an annual rate of 16% and some at an annual rate of 10%. If the income from these loans was $1800, how much was loaned at 10%? 3. Write the augmented matrix of the system: 4. Perform the row operati ...continues

Matrix Addition, Multiplication and Row Reductions

I am having problems with numbers 1-5 of the attached document. I understand numbers 6-10, but I can't seem to comprehend how to solve numbers 1-5.

Finite Math

1. What is the ending balance from an initial deposit of $4,250 at 12% compounded quarterly for 6 years? 2. Find the present value of $5,000 in 5 years at 10% compounded annually. 3. Find the value of an annuity in which $1,100 is deposited at the end of each year for 5 years, at an interest rate of 11.5% compounded ann ...continues

Finite Math

1. Find the present value of an ordinary annuity with annual payments of $1,000, for 6 years, at 10% interest compounded annually. 2. In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? 3. A class consists of 15 ...continues

Finite Math

1. 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? 2. Using the following sample: 28, 30, 24, 30, 32, 40, 22, 25, 26, 34 a. Find the mean. b. Find the media ...continues

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

Linear Programmng : Maximizing Profits

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 : Sampling without Replacement

A bag cotains 10 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

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