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
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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,
Halee set up a lemonade and cookie stand at the end of her street. She is selling lemonade for $0.25 per cup and cookies for $0.25 each. She sells 15 cookies and 35 cups of lemonade. Her total sales can be represented by the expression shown.
Sales (in $ 1000s)= 16,020.78118 + 149.15175 * %spanishsp – 44.16538 * %dryers – 112.48017 * %freezer – 79.84655 * %sch0-8 + 9,393.82229 * comtype1 + 3,802.26442 * comtype2 – 3,123.24462 * comtype7
I chose 3 firearms to keep my base safe from enemies and to hunt for food. Then I also got 7 pots and 7 pans to cook my food. I also got 1 plow to plow my garden. Also, I
The set is made up of a door, a rostrum box (car), another two rostrum boxes (dining table), two chairs, and one table (lounge room), another rostrum box (bed) phone, two flight of stairs going in together (one goes up one goes down), cups x2
Jet Skis are a vehicle and therefore a mode of transportation, similar to a car. The value of a car in most cases decreases as time of ownership increases, this goes the same for a Jetski itselves. As time goes on the Jetski is more worn out and outdated compared to more new and improved Jet Skis. If someone is using these Jet Skis then the price would decrease at a even higher rate as using the equipment would increase the time it takes for it to wear out for example the engine of the Jetski would begin rusting and stop running as efficiently therefore the Jetski would not be worth as much as it used to be. This would consistently decrease over the years till the Jetski reached a very low amount of money. Jet Skis have many different brands, some more common than others and some more expensive or rare. If a rare Jetski is owned then price should go up as
Answer each problem thoroughly. Each problem is worth 10 points. Make sure to provide detailed explanations for each part of each problem.
Problems #65 - #94 from page 311. Please provide your answer after each problem and submit the file with your answers through Blackboard.
Many fun and highly detailed accessories such as a barbecue, ice cream freezer, store rack, patio tables, lounge chair, observation deck chairs, glasses, hot dogs, bushes and flowers
James is an 11 year old boy that lives in California. James’s favorite color is yellow and he loves the letter b. When his family goes on road trips him and his brother try to count as many b’s as they can. He also loves cats’, waterpark’s, and cars’. His favorite water park is Wild Water Adventure Park in Clovis, CA. Although James’s family likes water parks they don’t get to go very often. James loves all cars in general, but his favorite is the Ferrari LaFerrari. He hopes to get one when he is older, although he hasn’t taken the price into account ($1,416,362)!
Using the sample data given in Table 2-20, make a recommendation for how many units of each style Wally should make during the initial phase of production. Assume that all of the 10 styles in the sample problem are made in Hong Kong and that Wally’s initial production commitment must be at least 10,000 units. Ignore price differences among styles in your initial analysis.
Tom the Turkey was very excited, He was going to see his family for Thanksgiving. They lived 195 miles away in Myrtle Beach South Carolina. Tom liked to plan before he took any trips so he would know what it was going to cost him. First thing he would need was some clothes. He needed 5 items, a sweater costing $47.50, a pair of blue jeans costing $79.99, a scarf costing $15.75, a pair of mittens costing $5.99, and a pair of boots costing $89.99. Tom knew that there would be 7% sales tax, but he had a coupon for 33.3% off. After figuring out the cost he knew it would total $148.39.
• Paper • Pencil • Ruler • Marker • Protractor • Calculator • Glass • Plastic • Gelatin • Laser
Response of Blood Flow through Stenotic Artery with variable Viscosity- A Non-Newtonian Fluid Model A Dissertation report submitted for the partial fulfillment of the award of degree of Master of Science In Mathematics Submitted By Shailja Gautam ROLL NO. 115258