Find and solve a recurrence relation for the number of ways to stack n poker

chips using red, white and blue chips such that no two red chips are together.

Use your solution to compute the number of ways to stack 15 poker chips.

Explain in detail why in Pure Competition firms will always break even, use the economic profit and shut down situation to explain why firms will break even. Please include the graphs to explain these concepts.

Use your mechanical engineering skill. Explain in 200 - 250 words why DOE is important for a Mechanical Engineer using an example. In this section, it is not expected you implement DOE in one full example. The idea in that you reflect DOE understanding in a Mechanical field. Feel free to use any source but the answer must be thorough.

Please type, make it easy to understand.

explain the development of necrosis in tuberculosis in detail (use words, macrophage, mycobacterium, mycelia acid, phagocytosis, granuloma, caseous)

An insurance company agrees to pay the promoter of a drag race $15000 if the race has to be canceled because of rain. If the company's actuary feels that a fair net premium for this risk is $2400, what does this tell us about his assessment of the probability that the race will have to be canceled because of rain? （Please indicate the formula and Explain each step in detail. Thank you.）

Think critically about the way in which you share information with the world through on-line environments. Do you cautiously share personal information? How much detail do you place about yourself into Facebook and other social networking sites? Do you use the same credit card for all online purchases? How often do you pirate music and media? Keeping this in mind, detail the various ways in which you could become a victim of as many forms of cybercrime as is possible

According to the Solow model of growth, growth, in the long run (the steady-state), determine only by growth in technology. However, in the Solow model, there is nothing about how technology determined.

1. What factors do you think might affect technology in the long run?

2. Justify your answer and explain the implications to the growth in the long run.

The following data gives the monthly sales (in thousands of dollars) for different advertising expenditures (also in thousands of dollars) and sales commission percentages.

Sales                    245      138      352      322      228      275      560      366

Advertising          16.5     18.0     22.3     18.4     19.0     19.5     30.0     18.6

Commission        10.5     2.0       4.0       3.5       4.5       1.8       9.0       8.5

1. What amount of sales would this model predict for advertising expenditures of 25,000 and sales commission of 8%? [Show your code in “R Code” section. Show the answer in “Answer” section. Leave “Comments” section blank.]
2. Find the correlation coefficients for advertising expenditure and commission compared to sales. Explain the results of these findings. [Show your code in “R Code” section. Show the answer in “Answer” section. Leave “Comments” section blank.]
3. At the 5% level of significance, are advertising expenditure or sales commission percentage significant? Why? [Show your code in “R Code” section. Show the answer in “Answer” section. Include the mathematical notations of two sets of null and alternate hypotheses and the phrase “advertising expenditure” or “sales commission percentage” or “both” along with a justification in a few sentences in “Comments” section.]

Design an experiment to determine the strength of the magnetic field of Earth using the available equipment.

Available equipment: A large coil of wire (with stand in the center), compass, ammeter, 10Ω and 50Ω resistors, power supply, ruler.

A) Perform the experiment and record your measurement and calculations in an appropriate format. Be explicit about what model you're using to calculate the magnetic field. Vector diagrams may assists you. Include important measurements. Determine the magnitude of the Earth's magnetic field.

B) Identify at least 3 sources of error in your experiment and evaluate how they affect your data. Identify at least 1 shortcoming in your experimental design and what you would do to fit it, Summarize these. Hints: Just saying human error is not acceptable.

Please explain in full detail

This is a Lab Report about an experiment.

The experiment should be about HEAT and TEMPERATURE with any example.

Title:

Hypothesis: Statement that the experiment is going to test, prove, or disprove. What is the point of the experiment? (Make a statement that the experiment will either prove or disprove.)

Overview: Brief summary of what occurred in the experiment or what was tested and how.

Uncertainty&Error: Can you trust your data?

Considerations:

1) What factors may have affected or biased the data and introduced uncertainty in the lab measurements? Or, what conditions created uncertainty in your measurements? Which measurements were most affected?”

2) If you were conducting the lab in a physical environment, what other factors would have to be taken into account while accomplishing the procedures? How might they affect the data and/or experiment outcome?

Conclusion/Summary: This section must contain each of the items listed below. You are now the one speaking, of your personal results. Although this is merely an example, it does contain all the requisite components. You may write this section how you see fit, as long as the items annotated are included. However, a checklist or bullet list is not acceptable. The clarity and flow of your conclusion/summary should make clear to any ready what you did in the experiment and how it turned out.

Application: How does this topic—and science in general—impact our understanding of the complex, technological society of which we are a part? How does this explain something in the real world around you?