Mathematics

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

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.

1. In the article “The tools of Quality Part IV: Histograms” (Quality Progress, September 1990, Vol. XXIII, No.9, pp.75-78) data are presented on the gain of 120 amplifiers. These data are reproduced below. a) Construct a stem-and-leaf display step by step. Category Interval=1 (7,8,9,10,11 as stems, and decimal number as leaf) (3pts). b) Comment on the shape of the display in a. Can you make an assumption that the data follows a normal distribution? Why? (2pt)c) Construct a stem-and-leaf display step by step. Category Interval=0.5 (7.0?X<7.5, 7.5?X<8, 8.0?X<8.5, ….(1pts) 8.110.48.89.77.89.911.78.09.39.08.28.910.19.49.27.99.510.97.88.39.18.49.611.17.98.58.77.810.58.511.58.07.98.38.710.09.49.09.210.79.9.78.78.28.98.69.59.48.88.38.49.110.17.88.18.88.09.28.47.87.98.59.28.710.27.99.88.39.09.69.910.68.69.48.88.210.59.79.18.08.79.88.58.99.18.48.19.58.79.38.110.19.68.38.09.89.08.98.19.78.58.29.010.29.58.38.99.110.38.48.69.28.59.69.010.78.610.08.88.6 Please be noted: you are not expected to use Excel Histogram function in this problem. In the next assignment, this function must be used. 2. An experiment in chemistry looked at the effect of temperature on the solubility of salt in water. Below are data on the solubility of Potassium Chloride (KCL). Construct a scatter plot of the data and comment on the relationship between temperature and solubility using Microsoft Excel. (3pts)Temp. °C 0 10 20 30 40 50 60 70 80 90 100 Solubility 29.6 28.0 33.6 38.1 34.2 42.6 44.8 48.1 56.5 55.46 2.9

How does math statistics work?

Demonstrate skills to calculate probability. Construct basic graphsCalculate and compute descriptive statistics. Calculate probabilities for a normal distribution. Demonstrate skills using the Central Limit Theorem. Construct confidence intervals. Calculate Student’s t-Distribution. Estimate population means. Estimate population proportions. Compare population means. Conduct hypothesis testing. Perform a chi-square test. Calculate and interpret the correlation between two variables due after 3 hours anyone can help?

Define the continuity and discontinuity of a function and explain it with examples to make a presentation on PowerPoint.

When students are learning mathematical operations and skills, the concepts and skills will build upon each other. It is important for teachers to plan meaningful learning progressions in their lessons to help with this learning process. Higher-order questioning within a lesson plan can help ensure skill mastery before the next learning concept is introduced. Part 1: Partial Lesson Plan Select a 1-5 grade level and a corresponding Arizona College and Career Ready Standard or other state standard based on the Number and Operations in Base Ten domain. Using the “COE Lesson Plan Template,” complete the lesson plan through the Multiple Means of Engagement section, making sure the activities are supported by the recommendations found in the topic materials. Include appropriate support and guidance to help students learn related academic language. Part 2: DOK Essential Questions Upon completion of the partial lesson plan, draft 20 essential questions to guide meaningful learning progressions and foster problem-solving for students with disabilities, using the “DOK Questions Template.” Five of the questions should activate prior knowledge and the remaining 15 questions should be based on the progression of the lesson activity, probing the four Depth of Knowledge (DOK) levels. Using four of the questions you drafted, one from each DOK level, identify the following using the DOK Questions Table within the “DOK Questions Template”: Examples of student responses Rationale of why chosen question meets DOK level APA format is not required, but solid academic writing is expected. This assignment uses a rubric. Review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion. You are required to submit this assignment to LopesWrite. Refer to the LopesWrite Technical Support articles for assistance. For more information on Mathematical Operations and Skills read this: https://en.wikipedia.org/wiki/Mathematics_education

Area under the curve. Identify what percentage of the distribution should be found under the curve using the below information. Although not graded, it may be helpful to draw the corresponding normal distribution where that percentage is located (either here if you know how or on a piece of scrap paper for your own reference). An example is provide below.Example: What percentage of the distribution would we expect to fall between the Z-score for the value of 426 from the original distribution and a Z-score of 0?The Z-score associated with 1,416 is -1.25. We would expect 39.44% of the distribution to fall between the Z-scores of -1.25 and 0.a. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and a Z-score of 0?b. What percentage of the distribution would we expect to fall between the Z-score for the value of 603 from the original distribution and a Z-score of 0?c. What percentage of the distribution would we expect to fall between the Z-score for the value of 543 and the rest of the distribution to the right of that value?d. What percentage of the distribution would we expect to fall between the Z-score for the value of 582 and the rest of the distribution to the right of that value?e. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and the Z-score for the value of 680 from the original distribution?

Standard Error of the Mean. What is the standard error of the mean for the following values sampled from the population of Seattle robberies: 426, 445, 603, 579, 543. (Also treat these five numbers as a population when calculating their standard deviation)?9. (5 points). Standard Error Z-scores & Area under the curve.a. What is the Z-score associated with the standard error of the mean you calculated in question 8?b. What percentage of a normal distribution would we expect to fall between the Z-score for the standard error of the mean and a Z-score of 0?Dataset: The dataset for this portion of the assignment is data from the Seattle Public Safety Survey and is labeled Safety_Survey_Midterm.sav. IMPORTANT: Use only the dataset linked from the Assignments page where the Midterm information is located and where you downloaded this document.There are multiple variables that capture information about the respondents and their views on public safety related issues in the Seattle area. To be eligible to complete the survey, respondents need to live and/or work in Seattle. Please type your answers directly into this document and insert all graphs and tables requested into this document. In addition, save your output and submit it with this file.10. (5 points). Create two pie charts that compare the distribution of individuals who did not report their victimization (NO_REPORT) between whether the respondent identified as female or not (FEMALE). Edit the graph so that it is presentable and copy and paste it into this document. Explain what differences, if any, do you see between the two pie charts.11. (5 points). Create a scatterplot that explores the relationship between a respondent’s perception of social disorganization in their neighborhood (SOCIAL_DISORGANIZATION_SCALE) and their fear of crime (FEAR_CRIME_SCALE). Social disorganization measures a respondent’s perception of visible problems in their neighborhood, such as broken windows, graffiti, etc… Fear of crime measures how often they think about, or are fearful of, criminal victimization. Edit the graph so that it is presentable and copy and paste it into this document. What trends do you see in the data? Offer an explanation for why you think that might be.12. (5 points). Using the year the respondent completed the survey (SURVEY_YEAR) and whether the respondent was victimized or not (VCTM_YES), create a multiple line graph. Edit the graph so that it is presentable and copy and paste it into this document. Interpret your graph for me (i.e. explain the patterns you see in the data).13. (5 points). Using the variable for social cohesion (SOCIAL_COHESION_SCALE) request and report on the three main measures of central tendency we discussed in class as well as the three measures of variability/dispersion.14. (5 points). Request frequency tables for marital status (MARITAL_STATUS) and the age of the respondent (AGE). Answer the below questions.a. What is the mode for marital status?b. What % of respondents were single?c. For respondents who provided information about their age, what percent were younger than 60?d. What is the scale of measurement for age?

Scenario: It is assumed that college students attending HBCU schools have an estimated average student loan debt of $40,000 and a standard deviation of $7,000, which follows a normal distribution. You may use the shorthand notation, X ~ n(40, 7). Use this information to answer the following questions. Show all work in the yellow section provided and turn in your work to me by noon tomorrow, Friday, 26 March 2021. ALSO, PROVIDE A CORRECT INTERPRETATION. EXPAND THE YELLOW WORK SECTION AS NEEDED.