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Math 205

Decent Essays

Your Name: Jennifer Green MAT 205 Final Examination
Your Score: of 250 points

NOTE: You must show your work on each problem to receive full credit points allocated for each problem (excluding T/F questions)

Write a matrix to display the information.
1) At a store, Sam bought 3 batteries, 15 60-watt light bulbs, 46 100-watt light bulbs, 8 picture-hanging kits, and a hammer. Jennifer bought 12 batteries, 3 100-watt light bulbs, and a package of tacks. Write the information as a 2 x 6 matrix.

| |BATTERIES |60watt light bulbs |100 watt light bulbs |Picture hanging kits |Hammer |Package of tacks |
|Sam |3 |15 |46 …show more content…

10) {14, 6, 15} ∩[pic] = {14, 6, 15}

Find the probability.
11) A lottery game has balls numbered 1 through 15. What is the probability that a randomly selected ball is an even numbered ball or an 8?

Even numbers between 1 – 15 are , 2,4,6,8,10,12,14 => 7 numbers which includes an 8 too
So the probability of selecting an even number is 7/15

12) The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5, 16.1) and (20.0, 18.3).

|List Price |Dealer Invoice Price |
|16.5 |16.1 |
|17.6 |17.0 |
|20.7 |18.2 |
|23.1 |19.3 |
|20.0 |18.3 |
|24.6 |21.0 |

Given points (16.5, 16.1) and (20.0, 18.3)
Slope = (18.3-16.1)/(20-16.5) = 0.629
Now equation of line is given by

Y –y1 = m(x-x1)

⇨ y-(16.1) = 0.629(x-16.5) ⇨ y-16.1 = 0.629x -10.362 ⇨ y = 0.629x +5.738

Write the solutions that can be read from the simplex tableau.
13) x1 x2 x3 s1 s2 z

|1 |4 |1 |0 |5 |0 |5 |
|0 |1 |3 |1 |2 |0 |8 |
|0 |0 |0 |0 |4 |1 |6 |

13) __A_
A) x1 = 5, s1 =8,

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