Jack is mowing a lawn that has a shed.Jack wants to know the area if the lawn he has to mow.Here are the dimensions of the yard and the shed (see picture below)Find a polynomial that describes the area of the lawn he has to mow (i.e. find the area of the yard minus the area of the shed.)The polynomial in your final answer should only have two terms. This means you have to combine like terms and simplify.)

Imagine if you were offered a job in a different state and a major consideration for you is rent prices (assuming you planned to rent instead of buy). Your main concerns are the affordability in relation to your income and the location/condition of the property. Perhaps you would look for the cheapest rent possible within a quiet, residential community. Or, you might be willing to spend at little more than average to live in the heart of downtown. As you research the city, you learn that the mean for rents of your preferred home size are $1,300 a month. Many people might base their decision on this number alone, but you—equipped with the knowledge of standard deviation—know there is more to that number.If the most you could afford is $1,100 a month in rent, then a standard deviation of $250 might be good news because the amount you can afford is still within 1 deviation of the mean. With a standard deviation of $75, however, you might be unwilling to make the sacrifices necessary to rent a place that you could afford. Additionally, if you were willing to spend a little more than average to live in a nice place or area, then you could easily find an amazing place with a standard deviation of $100 but might not be able to afford the upgrade with a standard deviation of $300.In this Discussion, you will use the data that you gathered in the Week 1 Discussion to calculate a standard deviation and explain how this concept can affect decision making.To prepare for this Discussion:Review this week’s Learning Resources.Locate the data that you gathered for the Week 1 Discussion.Calculate the sample standard deviation from your cigarette price data in Week 1. Use that (and your sample average and sample size) to calculate the following (assuming a normal distribution):Within what range would you find 90% of cigarette prices in your area?What are the chances that someone in your area would pay 4 dollars or less per pack?What are the chances that someone in your area would pay 10 dollars or less per pack?Review the Academic Writing Expectations for 2000/3000-Level Courses, provided in this week’s Learning Resources.BY DAY 3Post a 150- to 225-word (2- to 3-paragraph) explanation of how probability distributions affect management decisions. In your explanation, address the following:Provide your results of the following:Your calculations for your standard deviationThe range within which 90% of the prices of cigarettes in your area fallsThe chances of anyone paying less than 4 dollars for a pack of cigarettesThe chances of anyone paying more than 10 dollars for a pack of cigarettesDescribe what implications this concept has for management decision making.Explain how you might use information like this in your current work.To support your response, be sure to reference at least one properly cited scholarly source.

Competency Given a real-life application, develop a hypothesis test for a population parameter and its interpretation.  Instructions A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet below that contains the following information:  A listing of the jobs by title The salary (in dollars) for each job In prior engagements, you have already explained to your client about the basic statistics and discussed the importance of constructing confidence intervals for the population mean. Your client says that he remembers a little bit about hypothesis testing, but he is a little fuzzy. He asks you to give him the full explanation of all steps in a hypothesis testing and wants your conclusion about two claims concerning the average salary for all jobs in the state of Minnesota.  Background information on the Data  The data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.