Reference no: EM131108117
UNIT Project
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem.
1. a. Complete the pattern in the chart.
| x |
-2 |
-1 |
0 |
1 |
2 |
3 |
| y |
-9 |
-5 |
-1 |
3 |
7 |
|
b. Does the chart in part a show a proportional relationship? Explain your answer.
c. Write an equation for the relation shown in the chart.
d. Graph the equation in part c.
2.
a. Describe the pattern of the points in the scatter plot to the right.
b. Give at least two examples of real-life situations that, if graphed, would result in a correlation like the one shown in the scatter plot.
c. Draw a line of best fit for this scatter plot. Then, find the equation of the line. Show your work.
3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a.
4. The chart to the right gives gas mileage for different models of cars made by Acura for the year 2014.
| Gas mileage in Acura Vehicles |
| Model |
Cylinder |
MPG |
| ILX(AV-S) |
4 |
38 |
| ILX(S5) |
4 |
28 |
| ILX(M6) |
4 |
25 |
| TSX(S5) |
4 |
26 |
| TSX(M6) |
4 |
24 |
| TSX(S5) |
6 |
23 |
| RLX(S6) |
6 |
24 |
| RLX(S7) |
6 |
30 |
| TL 2WD (S6) |
6 |
23 |
| TL 4WD (S6) |
6 |
21 |
| TL 4WD (M6) |
6 |
20 |
| TSX WAGON(S5) |
4 |
25 |
| MDX 2WD(S6) |
6 |
23 |
| RDX 2WD(S6) |
6 |
23 |
| MDX 4WD(S6) |
6 |
21 |
| RDX 4WD(S6) |
6 |
22 |
a. Calculate each probability for 6 cylinder cars.
i. Gas mileage between 20-24 mpg
ii. Gas mileage between 25-29 mpg
iii. Gas mileage of at least 30 mpg
b. Make a histogram using the probabilities calculated in part a.
c. Use the same ranges from part a to make a histogram for gas mileage in cars with 4 cylinders.
d. Interpret the histograms created in parts b and c. Using these histograms, interpret the relationship between the Cylinders in the engine of a car and gas mileage in cars.
Does this data show an accurate relationship? What other factors could affect gas mileage?
e. After doing this investigation, what kind of car would you buy? Justify your answer.
|
Price elasticity of demand
: A busy urgent care clinic has average costs of $40 and incremental costs of $60. a. How could incremental costs be higher than average costs? b. The clinic charges $80 for a visit. What price elasticity of demand does this information imply?
|
|
What is the process of building up strong armed
: What is the process of building up strong armed forces to prepare for war
|
|
Construct the economic breakeven chart
: Compare annual profit when the plant is operating at 90% of capacity with the plant operation at 100% capacity. Assume that the first 90% of capacity output is sold at $90 per unit and that the remaining 10% of production is sold at $70 per unit. ..
|
|
What entry should be made at the time of the issuance
: What entry should be made at the time of the issuance of the bonds and warrants?
|
|
Write an equation for the relation shown in the chart
: Does the chart in part a show a proportional relationship? Explain your answer - write an equation for the relation shown in the chart.
|
|
Moving average process-autoregressive process
: Do you think that unemployment is better characterized as a moving average process, an autoregressive process, or some combination of the two? Is there any evidence you can think of to support your claim? Explain.
|
|
Determine the displacement and stress fields
: Determine the displacement and stress fields in the spherical body. Using the stress field obtained, determine the stresses at the surface of a rigid inclusion in an infinite elastic medium.
|
|
Trade can make everyone better off
: China has been growing at a phenomenal rate and recently became the second largest economy in the world. Discuss economic reasons why trade with China (both in terms of importing and exporting) is beneficial to the United States.
|
|
Record the conversions using the book value method
: On January 1, 2009, Trillini Corporation issued $3,000,000 of 10-year, 8% convertible debentures at 102. Interest is to be paid semiannually on June 30 and December 31.
|