Investigate the possible relationship that exists between a persons height and arm span.

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Investigate the possible relationship that exists between a persons height and arm span. Spastically analysis.

State the null and alternative hypothesis (in both words and statistical notation) need to address the research question.

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In 1,250-1,500 words, answer the following questions about possible research options.

Create a research question in the field of psychology that you are interested in researching. Write questions clearly. Include a brief background of the problem you are proposing and why it is important to the field of psychology.
State the null and alternative hypothesis (in both words and statistical notation) need to address the research question.
Choose which statistical test would be used to conduct the study and support it with research.
Describe the type of data needs to be collected to conduct the study and what techniques are best for collecting data.
Use three to five scholarly resources to support your explanations

Formally critique the problem in a brief paper with an eye toward giving it a 21st century twist. For example: What’s good about the problem? How can it be repurposed to make it real world? How can mathematical modeling be incorporated? Does it lend itself to a career of interest?

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If we’ve taught for any time at all, we have a toolbox full of good ideas. Sometimes we just need to take them out, refresh them, and share them again with students. Let’s see how this can work with mathematical modeling.

Look through the materials and resources you use to teach mathematics, and select a problem or activity that lends itself to refurbishing through the use of mathematical modeling.


Formally critique the problem in a brief paper with an eye toward giving it a 21st century twist. For example: What’s good about the problem? How can it be repurposed to make it real world? How can mathematical modeling be incorporated? Does it lend itself to a career of interest?


Modify the problem to increase the opportunities for mathematical modeling and application to real life. Compose a brief paper describing the problem’s transformation.


Respond in writing to these questions: How can you share this process with students? What would they learn from this? How could repurposing problems help them acquire more in-depth knowledge of mathematical modeling as a 21st century learning strategy?

In a final product, assemble the original and revised problems, the critique of the original problem, the description of the problem transformation, and the response to the reflection questions in a product of your choice appropriate for sharing with students and/or colleagues

Think of a problem within your community or workplace.Create a 10 question survey with quantitative variables (number) on a topic you are interested in.Administer the survey to a minimum of 10 people. Analyze your data for the mean, median, and mode of each questions.

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You have been charged with creating a survey for your community! The community is interested in having you create a survey and present the results at the next town hall meeting.

In this project, students will:

Learn about quantitative variables.

  1. Learn to analyze data for measures of central tendency (mean, median and mode)
  2. Learn to create an effective presentation with real-world conclusions.

To complete this project you will:

Think of a problem within your community or workplace. The problem needs to be something others will have an interest in solving or will want to share reactions to.

  1. Create a 10 question survey with quantitative variables (number) on a topic you are interested in. Think of questions where 0 is dislike there is a scale to 4- like. Another way to do this is using 0-never, 1 sometimes, 2 frequently, and 3 always.
  2. Administer the survey to a minimum of 10 people.
  3. Analyze your data for the mean, median, and mode of each questions.
  4. Create a visual from this chapter: bar graph, box and whisker plot, histogram, stem and leaf plot. etc.
  5. Compile the information into a slide presentation, of at least 5 slides, to present at the next town hall. The presentation should present: the mean, median, and mode of each question, the visual of the data, and conclusions based on the statistics you found in the survey.

Nick must find a tour that starts and ends in Dallas (this is his home) and visits each of the other cities. Find the nearest-neighbor tour that starts at Dallas. Find the cheapest-link tour

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Put the data in a workable mileage chart and there is only one chart set up to this answer. There is one path for nearest-neighbor and one path for cheapest-link. The chart is worth 34 points, nearest-neighbor is worth 33 points, and cheapest-link is worth 33 points for a total of 100 points. There is no partial credit, each part is either right or wrong. You receive the whole points for each part or no points for each part. Make sure your answer is organized and neat or it will be marked wrong.

Nick is a traveling salesman. His territory consists of 11 cities shown with mileage between them shown below. Nick must find a tour that starts and ends in Dallas (this is his home) and visits each of the other cities.

1) Find the nearest-neighbor tour that starts at Dallas.
2) Find the cheapest-link tour.

Mathematically test using Euler’s Theorem to indicate if a Euler Path, a Euler Circuit, or just a path is present. Trace the path on the graph in red with arrows pointing in the direction you are going. Make sure the graph is large enough to be seen clearly.

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This project will contain two parts, one dealing with you going to Animal Kingdom (Disney World, the other you are taking a visit to Sea World. Look up both theme parks maps on the internet and graph each scenario with vertices at the given locations and label the vertices with capitol letters from the name of the site. Connect the vertices with all possible edges (there is a right number of edges). Mathematically test using Euler’s Theorem to indicate if a Euler Path, a Euler Circuit, or just a path is present. Trace the path on the graph in red with arrows pointing in the direction you are going. Make sure the graph is large enough to be seen clearly.

Animal Kingdom (Disney World) Vertices
Flight of Passage
Safari
Discovery Island
Mount Everest
Nemo’s Theatre
Dino Land

Sea World Vertices
Stingray Lagoon Shamu
Dolphin Cove Shark Encounter
Sea Lion Kraken
Bayside Stadium Journey to Atlantis

The function f is defined for positive y and all x by f(x,y) = x2 lny−y lny. Find the critical (or stationary) points of f and determine whether each critical point is a local maximum, local minimum or saddle point.

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A firm is the only producer of a particular good. The firm’s marginal revenue function is MR = 9−q, where q denotes the quantity of the good produced by the firm. The firm’s fixed costs are 12 and its average variable cost function is 1 + q/2. Find an expression for the firm’s profit function, Π(q). Find the value of the production, q, which maximises the firm’s profit, and hence calculate the firm’s maximum profit.
2. Using the method of row operations, solve the following system of linear equations to find x, y and z. 3x + y + 3z + 22 = x + 2y−2z + 150, x + y + 73 = 2x−2y + 2z + 44, x−2y + z + 102 = x−y + 130.
3. The function f is defined for positive y and all x by f(x,y) = x2 lny−y lny. Find the critical (or stationary) points of f and determine whether each critical point is a local maximum, local minimum or saddle point.
4. Two functions W(x,y) and U(x,y) are connected by the equation
W(x,y) = ex−4yU(x,y).
Find the partial derivatives
∂W ∂x
,
∂W ∂y
and
∂2W ∂x2
,
in terms of U and its partial derivatives. If W satisfies ∂W ∂y = ∂2W ∂x2 −2
∂W ∂x −3W, show that the function U then satisfies the equation
∂U ∂y
=
∂2U ∂x2
.

MT105a Mathematics 1 2016 Mock 5. (a) Determine the integralZ x−1dx (1 + lnx)lnx . (b) An arithmetic progression is such that its second term is 7 and its thirteenth term is ten times its first term. Determine the first term and the common difference.
6. An investor saves money in a bank account paying interest at a fixed rate of 100r%, where the interest is paid once per year, at the end of the year. She deposits an amount D at the beginning of each of the next N years. Show that she will then have saved an amount equal to D r(1 + r)N −1just after the last of these deposits.

Reflect on how mathematical laws, such as the laws of logarithms, govern the problem-solving process. Why should we know the laws of logarithms?

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Students explain the different log laws and demonstrate their meaning by designing an interactive simulation.

Use several sources to investigate the history of logarithmic equations and laws of logarithms. Make note of the dates, events, and relevance to the time period. Display the key events in a format of your choice.

Select a video or other resource for demonstrating logarithms and the laws of logarithms to recommend to classmates. Provide the title, a brief summary, a rationale for selection, and the link.

Explain what a logarithm is and the laws of logarithms by designing an interactive simulation. Submit your simulation or a link to your simulation.

Reflect on how mathematical laws, such as the laws of logarithms, govern the problem-solving process. Why should we know the laws of logarithms?

 Give an example of an exponential equation whose solution is a negative number. How could you plot the graph of a logarithmic function without starting with the exponential graph?

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Logarithmic functions are complex and may create misconceptions. Students often see little, if any, reason for learning about them. Use the questions to guide an original response

Give an example of an exponential equation whose solution is a negative number. How could you plot the graph of a logarithmic function without starting with the exponential graph?

Describe mathematical reasons and arguments that could convince a friend that log(M + N) ≠ logM + logN.

What misconceptions might these two problems present for students? Why is it important to address misconceptions early?

How would you respond to a student who sees little, or no, meaning in solving either problem?

Analyze how two applications of graph theory are being used within your area of specialization. Explain how graph theory has advanced knowledge and practice within your specialization.

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The famous Swiss mathematician Leonhard Euler (1707–1783) started working in the area of graph theory in 1736. He successfully used graph theory to solve the Seven Bridges of Konigsberg problem.  Since then, others have used graph theory to solve problems in multiple fields, including the Chinese Postman Problem, DNA fragment assembly, and aircraft scheduling. In chemistry, researchers are using graph theory to study molecules, atoms, and the construction of bonds. Likewise, in biology, scientists are using graph theory to study breeding patterns and to track the spread of disease.

In this assignment, you will analyze how graph theory is being used to solve real world problems in your area of specialization.

Specifically, you will write a 3–5 pages paper in which you:

  1. Analyze how two applications of graph theory are being used within your area of specialization.
  2. Explain how graph theory has advanced knowledge and practice within your specialization.
  3. Determine how you personally will apply graph theory in your specialization.
  4. Integrate at least three quality resources using in-text citations and a reference page in your assignment. Note: Wikipedia and similar Websites do not qualify as academic resources. You have access to Strayer University’s Online Library and the iCampus University Library Research page