Please show ALL work for each question. The rubric is in the link. https://intervisualtechnology.us/pxudpothrb/167/17...1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state your solution as an ordered pair.2. The population of a country is initially 2.5 million people and is increasing by 0.8 million people every year. The country’s annual food supply is initially adequate for 4 million people and is increasing at a constant rate for an additional 0.4 million people per year.a. Based on these assumptions, in approximately how many years will the country first experience shortages of food?b. If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.c. If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.3. Springfield will be opening a new high school in the fall. The number of underclassmen (9th and 10th graders) must fall between 500 and 600 (inclusive), the number of upperclassmen (11th and 12th graders) must fall between 400 and 500 (inclusive), and the number of students cannot exceed 1000.

CompetenciesDescribe the data using the measures of central tendency and measures of variability.Apply the normal distribution, standard normal distribution, and central limit theorem.Develop a confidence interval for a population parameter.Evaluate hypothesis tests for population parameters from one population.Evaluate hypothesis tests for population parameters from two populations.Determine the linear correlation and regression equation between two variables to make predictions for the dependent variable.Student Success CriteriaView the grading rubric for this deliverable by selecting the “This item is graded with a rubric” link, which is located in the Details & Information pane.InstructionsYou are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager, and together you work to use statistical analysis to look more closely at the ages of these patients.You do some research and put together a spreadsheet of the data that contains the following informationClient numberInfection disease statusAge of the patientYou are to put together a PowerPoint presentation that explains the analysis of your findings which you will submit to your manager. The presentation should contain all components of your findings. For review, the components of the report should include:Brief overview of the scenario and variables in the data setDiscussion, calculation, and interpretation of the mean, median, mode, range, standard deviation, and varianceDiscussion, construction, and interpretation of the 95% confidence intervalExplanation of the full hypothesis testConclusionThe calculations should be performed in your spreadsheet that you will also submit to your manager. You can find additional information on what to add to your PowerPoint presentation in this Word document. Use the questions in the worksheet as your guide for the contents of your presentation.For your final deliverable, submit your PowerPoint presentation and the Excel workbook showing your work. Do not submit your Word document.

The country that this data exercise is based on is kenya. Data can be found on their statistics site https://www.knbs.or.ke/data-releases/ and the sites mentioned in the pdf i sent.