Mathematics

 Debate the following statement: “Correlation means Causation.” Determine whether this statement is true or false, and provide reasoning for your determination, using the Possible Relationships Between Variables table from your textbook. For more information on Correlation read this: https://en.wikipedia.org/wiki/Correlation_and_dependence

Completing Gauss -Jordan Elimination With A 3×3 Matrix solve the system For more information on Gauss -Jordan Elimination read this: https://en.wikipedia.org/wiki/Frobenius_matrix

During the recent election season, you saw many instances where polls were taken and reported, along with the confidence level of the estimate. For example, a poll showed that one candidate had a “”voting for” level of 37%+/-4. The opposing candidate had a score of 39%+/-4 at a 95% confidence level. Because the poll is not a census sample, a sample may be “good” but will have variation around the TRUE population proportion or mean. Thus, the poll is an estimate. The +/- value establishes a range within which the true population proportion is said to be, give a certain level of confidence. However, the reporter said that the second candidate had “a slight lead”. Is this a true statement? Why could it be argued that the scores are “statistically the same”? For more information on Population Proportion read this: https://en.wikipedia.org/wiki/Population_proportion

All of us are used to multiple-choice tests. If all the exam questions have a choice of 4 different responses (a,b,c,d) what is the probability of randomly guessing the right answer? See! You are all naturally mathematicians! How does this relate to the formulas regarding probability? For example, if the probability of a correct answer was .25, what would the mean (aka expected value) of the distribution be if the sample size was 100? Hint: mean=np For more information on Dexter Masters read this: https://en.wikipedia.org/wiki/Dexter_Masters

Please read the “Final_Project-Diet and Cholesterol_AS2.dox” file ID #:2083927The description states that your report may “be no longer than four pages in total…”. For simplicity (and legibility), please use either Times New Roman, Calibri, or Arial font with a  minimum font size of 11 and have a minimum 1.5 spacing. You will submit either a .doc or .pdf file. In addition to the written report file, we are also requiring a separate “.do” file outlining all statistical procedures you may have used with appropriate comments. Please do not copy and paste your code into your word file. For more information on Biostatistics read this: https://en.wikipedia.org/wiki/Biostatistics

Discussion Forum 2Previous  Next Prompt Design an experiment to determine the empirical probability that a person will randomly select a can of Coke when given a cooler with equal numbers of cans of both Coke and Pepsi. (NOTE: each person considerately replaces the can after they have selected it, so the total number of cans will stay the same throughout the experiment.)Calculate the empirical probability after five persons. Calculate the empirical probability after ten persons. What is the theoretical probability that a person selected at random would select the Coke? Analyze: How does the empirical probability in your experiment compare to the theoretical probability of selecting the Coke? Why are the probabilities not the same? Post your calculations and respond with your analysis. Read two other posts and comment. For more information on Empirical Probability read this: https://en.wikipedia.org/wiki/Empirical_probability

Make sure you look and see if you are able to do it! Adjust accordingly if needed.  IBM SPSS STATISTICS REQUIRED.  Chapters 7 and 8

2x=7-5 2X=2 X=2/2 X=1

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.Write and simplify a function P that represents the profit made from selling x bracelets.How many bracelets must the company sell to break even?

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher’s model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:((For full details open Lab 2 question file and check the ETECH 899 Sample Report document for the expected answer file format))The company is interested in maximizing the total profit contribution. List of tasks (use this list for writing your report) to be completed for this problem:1. Define the linear programming problem to be solved in your own words.2. Develop a mathematical model to represent the problem.3. Find the optimal solution using the graphical solution procedure using the Desmos graphing calculator at www.desmos.com (Links to an external site.)  by providing a screen capture of the graph. (a tutorial for Desmos graphing calculator is given at Provide the link of the graph giving the optimal solution. Develop a Microsoft Excel spreadsheet to solve the problem. Include the normal view and the formula view of the Excel spreadsheet in your report by capturing the screen. Run the Excel’s Solver tool to determine the optimum solution while capturing parts of the screen to explain your entire process and the results. How many hours of production time will be scheduled in each department? What is the slack time in each department? Are any of the constraints redundant? If so, which ones? Upload an Excel spreadsheet file.