Mathematics

1) Simplify each of the following.a) 5-3 b)c) (5×3)2 d) (4a3)2e) (3m1/2)4 f) (27p3q6r-1)1/32) Solve each equation.a) logx 49 = 2 b) log6 216 = xc) log |x| = 15 d) log = x3) You invest $2500 in an account paying 5% compounded quarterly for six years. How much will be in the account at the end of the time period?4) You invest $1000 in an account paying 6% compounded monthly. How long will it take to double your investme5) The half life of a radioactive isotope is 8 days. If 3.6 kg are present now, how much will be present in t days? How much will be present in 22 days?

Based on our last 2 lectures, write a white paper (max. 4 pages) that includes the following:Data description and exploration (discuss patterns in data, provide visualizations as needed and explain clearly what you saw in the data)Based on (a) what type of data processing is required. What did you do? Show and discuss that processing you performed on the data, why you chose to do these processing, etc.What type of model would you build to predict the target variable? Why? How would you set up the data to test your model performance? What model metric will you choose to evaluate your model performance?Based on results in (c) what can you improve? Try some modifications in your earlier approach to improve the results. Did this help? Why or why not?

Discuss the differences between descriptive and inferential statistics

OverviewThe case describes an experiment designed to measure the effectiveness of an online display advertising campaign. After running the campaign for their client, Rocket Fuel’s analysts are tasked with proving that the campaign was effective and had a positive return on investment (ROI). The experiment involves randomly assigning Internet users to a test or a control group based on cookies that uniquely identify each user visiting a site where Rocket Fuel can place an ad. Users in the test group see an ad for a newly released handbag by TaskaBella, Rocket Fuel’s client. Users in the control group are shown a public service announcement (PSA) that is unrelated to the advertised product. Based on the unique IDs, Rocket Fuel is able to track which user eventually purchased a handbag from TaskaBella, allowing the analysts to discern the effectiveness of the campaign. A detailed data set is provided with the case that allows students to conduct their own analysis.Prepare a case analysis discussion that addresses the key issues, reports key data findings, and clearly connects the evidence to recommendations. Review the Case Study Process guidelines in the Pre-work Module for a refresher on preparing a case analysis report. Write for an audience of senior decision-makers at Rocket Fuel who are familiar with the initiative but who are not familiar with the data, analysis, or methods. As part of your final case analysis include at least two data visualizations supporting your analysis.*********** MAKE SURE TO INCLUDE THESE IN THE PARAGRAPHS******Additional questions to help you in developing your case analysis.1. Was the advertising campaign effective? Did additional consumers convert as a result of the ad campaign?2. Was the campaign profitable?3. How did the number of impressions seen by each user influence the effectiveness of advertising?4. How does consumer response to advertising vary on different days fo the week and at different times of the day?

Math for Liberal Arts WorkbookMathematical Models: Exponential FunctionsArithmetic, Population, and EnergyProfessor BartlettAs we watch the video of Professor Bartlett’s lecture on Arithmetic, Population, and Energy takenotes. Particularly, pay attention to his answers to the following questions. You will not be askedto address the math techniques.1. What does Doctor Bartlett claim is “the greatest shortcoming of the human race”?2. What is meant by ‘steady growth”?3. How long does it take for a quantity to double if it is growing steadily at 5% per year?4. How long does it take for a quantity to double if it is growing steadily at 7% per year?5. Why is this sobering: “Every time a growing quantity doubles, it take more than you havealready used up to that point”?6. How can he claim that “zero population growth will happen”?7. When you have bacteria in a bottle and the bottle is 1/2 full, what time is it?8. How much time does the enterprising bacteria buy for themselves by finding 2 new bottles?9. What is the analogy that Professor Bartlett wants us to recognize when he talks about bacteria?Write an essay about this video.• summarize his main points• Include points or ideas that you found most interesting, surprising or alarming.•Be sure to include references to the math he employs, the problems he brings up, and what you learned.

NOTE THAT A CUSTOM RUBRIC IS USED FOR THIS DISCUSSION.For this discussion, play your second run of the Macroeconomics Simulation: Econland (from Harvard Business Review), in which you act as a the chief economic policy advisor for the fictional country of Econland. Select either the Rollercoaster or Stagnation scenario option. You may play the simulation as many times as you like. This will directly support your success in your course project, due in Module Eight.In your initial post, include an image of your simulation report. (See Module Seven Simulation Discussion Screenshot Instructions.) Then address the following:Share your experience in the simulation. In your opinion, which policy decisions were more successful and why?Why does the simulation provide you with a global economic outlook for each year? How does an open economy versus a closed economy impact government policy decisions? Use information from the textbook or the news to support your answer.At the end of each year, the simulation highlights changes in consumer confidence. Why is the economic indicator “consumer sentiment” relevant for making successful policy decisions? Use news sources to support your answer.

OverviewThe purpose of this project is to have you complete all of the steps of a real-world linear regression research project starting with developing a research question, then completing a comprehensive statistical analysis, and ending with summarizing your research conclusions.ScenarioYou have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.DirectionsUsing the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.Note: Present your data in a clearly labeled table and using clearly labeled graphs.Specifically, include the following in your report:IntroductionDescribe the report: Give a brief description of the purpose of your report.Define the question your report is trying to answer.Explain when using linear regression is most appropriate.When using linear regression, what would you expect the scatterplot to look like?Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.Data CollectionSampling the data: Select a random sample of 50 counties.Identify your response and predictor variables.Scatterplot: Create a scatterplot of your response and predictor variables to ensure they are appropriate for developing a linear model.Data AnalysisHistogram: For your two variables, create histograms.Summary statistics: For your two variables, create a table to show the mean, median, and standard deviation.Interpret the graphs and statistics:Based on your graphs and sample statistics, interpret the center, spread, shape, and any unusual characteristic (outliers, gaps, etc.) for the two variables.Compare and contrast the shape, center, spread, and any unusual characteristic for your sample of house sales with the national population. Is your sample representative of national housing market sales?Develop Your Regression ModelScatterplot: Provide a graph of the scatterplot of the data with a line of best fit.Explain if a regression model is appropriate to develop based on your scatterplot.Discuss associations:Based on the scatterplot, discuss the association (direction, strength, form) in the context of your model.Identify any possible outliers or influential points and discuss their effect on the correlation.Discuss keeping or removing outlier data points and what impact your decision would have on your model.Find r: Find the correlation coefficient (r).Explain how the r value you calculated supports what you noticed in your scatterplot.Determine the Line of Best Fit. Clearly define your variables. Find and interpret the regression equation. Assess the strength of the model.Regression equation: Write the regression equation (i.e., line of best fit) and clearly define your variables.Interpret regression equation: Interpret the slope and intercept in context.Strength of the equation: Provide and interpret R-squared.Determine the strength of the linear regression equation you developed.Use regression equation to make predictions: Use yourregression equation to predict how much you should list your home for based on the square footage of your home.ConclusionsSummarize findings: In one paragraph, summarize your findings in clear and concise plain language for the CEO to understand. Summarize your results.Did you see the results you expected, or was anything different from your expectations or experiences?What changes could support different results, or help to solve a different problem?Provide at least one question that would be interesting for follow-up research.

This paper is about Asymmetric Encryption specifically the RSA Algorithm. Even though this is a computer science topic, the paper is for a math class so the main focus of the paper is the math involved in Asymmetric Encryption with main emphasis in the RSA Algorithm.·      The paper should be 10-15 pages, double-spaced in 12 pt. font with one-inch margins.·      The paper should be written for an audience of your peers, i.e. for senior mathematics majors.·      There should be an introduction that informs the reader of where the paper will take them and a conclusion that summarizes the work.·      You should make clear what your own contribution to the topic is.  That is, show how you relate or apply the material to an area of interest to you.·      Presentation and organization are major concerns.·      Style, grammar, and spelling are important and will be included in your grade.·      References must be cited within the paper.·      You should include complete bibliographic information, with several sources.I included the 1st draft that is 6 pages. This is the feedback I received from my professor:What you have so far makes sense, but I hoped to see more of the mathematics. Why are prime numbers used, and how? What does number theory have to do with the algorithm? I was also not clear on the difference between the public key and the private key. You call them “mathematically structured”; in what sense? You need to say a lot more about the mathematics behind the algorithm.So the additional 5 pages need to be about the mathematics behind the algorithm.

use crosstabs and regression with this data. use SPSS. be careful there are lots of gotchas in this data. look for oddly coded data, too many missing values,1) whether there is a significant relationship. how often you’d expect to find a relationship this size, by random chance alone.2) for correlations and regressions, how much of one thing you can explain with the otherwhat it means- not just the numbers, but also, you know, what it means

describe if a good certain of people dont wanna get vaccinated why we should help other countries and share with them