Finite Math : Linear Equations, Optimization, Probability and Basic Statistics

Week 5 ________________________________________ 1.) ________________________________________ 2.) Find the solution of the following system of linear equations: x + 2y - 7z = -1 3x + 7y - 24z = 6 x + 4y - 12z = 26 ________________________________________ 3.) A cookie company makes three kinds of co ...continues

Finding the probability of repeats in finite sequences

1. What is the probability that out of 3 people, 2 were born in the same month. 2. What is the probability that a seven digit phone number has 1 or more repeats. 3. What is the probability that given 5 letters selected randomly from the alphabet, none is repeated? 4. What is the probability 2 of more randomly selected s ...continues

Ernesto is going to choose 2 flowers.

Ernesto is going to choose 2 flowers. First, he will choose a flower for his mother the second flower he chooses will be for his sister. The florist has two blue flowers, 1 red flower and 1 yellow flower. Please draw a tree diagram to show all of Ernesto's possible choices Can you do this in a computation manner?

Gauss-Jordan Method

Gauss-Jordan method 1. x+y+z=7 x-y+2z=7 2x + 3z+=14 a. 3z+14 z 2 2 z b. -3z – 14z 2 2 z c. -3z +14 z 2 2z d. -3z + 14 2 2z,z 2. 2x -5y +z = 11 3x + y – 6z =1 5x – 4y -5z = 12 a. -29z + 16 15z-31 17 17 z b. 29z +16 15z +31 17 17 z ...continues

The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST.

Attached are problems involving linear equations. Thank you for your help. 1.) The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring ...continues

Chebyshev's Theorem

1. In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev’s theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent. Between 35 and 65 a. At least 89% b. At least 80% c. At leas ...continues

Lines and equations

Answer problems on attached word document. Answer Questions If possible show work. I have a lot more questions to answer and I need to use examples to work through them. 1. Find the slope for 3y – 1 = 14 2. Find the equation of the line in the form y = mx + b if possible if the line goes through (2, -3) and (-3, 4) ...continues

A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area.

I have tried to solve the attached problems however I am not coming up with the selected choices indicated on the work sheet. Need your assistance. Please explain the steps to solve. Thanks. 1. A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in ...continues

Solve equilibrium of price, estimate population, and dimension of rectangular

Need assistance in solving the attached problems. My answers are falling short of the choices given in the problem. Please explain the steps to get answers. Thank you. 1. Find the equilibrium price. Suppose the price p of bolts is related to the quantity q that is demanded by: P=520-5q^2 where q is measured in hundred ...continues

Geometric Sequence, Gauss Jordan Method

Attached are problems that I need assistance in solving.