Category: Mathematics

  • “Exploring Shapes and Measurements in the Pantry”

    Select two differently shaped items from your pantry in the shapes of a cube, rectangular solid, or circular cylinder. (I will attach photos to be used as well as textbook pages)
    2. Insert pictures of the items on your project as in the examples given below. The picture must include the ruler for measurement and one picture must show the weight of the item in grams from the package. (3 points)
    a.
    Note: If you are unsure how to use a ruler, google how to measure with a ruler in inches.
    3. Measure the item, in inches and list the rounded values for each item separately. Proper units must be included.
    (5 points)
    a. Note: When measuring use quarter, half, and three-quarter inches only. For example, 3.25 in, 3.5 in, 3.75 in, or 4 in. Round to the appropriate amount: .25, .5, .75 based on your values. It will not be all whole numbers. You must show your ruler measurements in your pictures.
    4. Calculate the surface area (section 10.5 page 677 in eText) for your figures in inches. (15 points)
    a.
    Identify the formula required and list it on your project. b.
    Show all work for each step and proper unit labels are required.
    5. Convert your measurements from step 3: Inches to centimeters. (section 9.1 page 601 eText). (5 points)
    a. Identify the conversion needed and list it on your project from the page and section listed.
    b. Show all work for each step and proper unit labels are required.
    6. Calculate the volume of your figures in centimeters from step 5. (section 10.5 in eText) (15 points)
    a. Identify the formula needed and list it on your project from the page and section listed.
    b. Show all work for each step and proper unit labels are required.
    7. Use the conversion on page 618 Table 9.10 in the eText to convert your answer from part 6 to weight in grams.
    (2 points)
    8. Compare your result from number 7 above to the weight given on the item you chose (in the picture). They may or may not be close in value (there may be a big discrepancy between your calculations and the item. Provide a minimum of seven sentences in response, they should reflect on the project, specifically why there is a difference (if there was) between your calculations in step 7 and the given weight in grams of the item. Your response should be specific to your project and your results, points will be taken off for generic responses or responses that are not reflective of your project specifically. You will want to pay close attention to the conversions you are being asked to use for consistency in this project, this may be helpful in this reflection. (3 points)
    Your work does not need to be typed, however must be organized, and written clearly to be reviewed easily.
    Work should be dark enough to see, organized, clear, and specific. The project needs to be submitted as one document. Multiple pages will need to be scanned into one document. (2 points)

  • Title: “Optimizing Production: A Decision-Making Model” 1) Assumptions: – The production process involves three stages: raw material acquisition, manufacturing, and distribution. – Each stage has a limited capacity and can only handle

    1) What assumptions (Choices) did you make? 
    2) Provide a picture of the model you made. NO HEIC files!
    3) What was your or your group’s overall solutions, be sure to reference your model?

  • Quadratic Equations and Functions **Assignment Title: Quadratic Equations and Functions**

    **15. P2:**
    a) Show that the solutions of the equation (x^2 – 6x – 43 = 0) can be written in the form (x = p pm frac{qsqrt{13}}{13}), where (p) and (q) are positive integers. (4 points)
    b) Based on the above or any other method, solve the inequality (x^2 – 6x – 43 le 0). (2 points)
    **16. P1:**
    A function (f) is defined by (f(x) = 3(x-1)^2 – 18), (x in mathbb{R}).
    a) Write (f(x)) in the form (ax^2 + bx + c), where (a), (b), and (c) are constants. (2 points)
    b) Find the coordinates of the vertex of the graph of (f). (1 point)
    c) Find the equation of the axis of symmetry of the graph of (f). (1 point)
    d) Indicate the range of (f). (2 points)
    e) The graph of (f) is translated by the vector (begin{pmatrix} 2 \ -1 end{pmatrix}) to form a new curve that represents a new function (g(x)).
    Find (g(x)) in the form (px^2 + qx + r), where (p), (q), and (r) are constants. (3 points)
    **17. P1:**
    a) Solve the equation (8x^2 + 6x – 5 = 0) by factorization. (2 points)
    b) Determine the range of values of (k) for which the equation (8x^2 + 6x – 5 = k) has no real solutions. (3 points)
    **18. P1:**
    Consider the function (f(x) = -x^2 – 10x + 27), (x in mathbb{R}).
    a) Show that the function (f) can be expressed in the form (f(x) = a(x-h)^2 + k), where (a), (h), and (k) are constants. (3 points)
    b) Based on the above, write the coordinates of the vertex of the graph of (y = f(x)). (1 point)
    c) Based on the above, write the equation of the axis of symmetry of the graph of (y = f(x)). (1 point)
    **19. P1:**
    The quadratic curve (y = x^2 + bx + c) cuts the x-axis at ( (10, 0) ) and has the equation of the line of symmetry (x = frac{5}{2}).
    a) Find the values of (b) and (c). (4 points)
    b) Based on the above, or any other method, find the other two coordinates where the curve intersects the y-axis. (2 points)
    **20. P1:**
    Consider the function (f(x) = 2x^2 – 4x – 8), (x in mathbb{R}).
    a) Show that the function (f) can be expressed in the form (f(x) = a(x-h)^2 + k), where (a), (h), and (k) are constants. (3 points)
    b) The function (f(x)) can be obtained through a sequence of transformations of (g(x) = x^2). Describe each transformation in order. (3 points)
    **21. P1:**
    Consider the equation (f(x) = 2kx^2 + 6x + k), (x in mathbb{R}).
    a) For the case where the equation (f(x) = 0) has two equal real roots, find the possible values of (k). (4 points)
    b) For the case where the equation of the axis of symmetry of the curve (y = f(x)) is (x + 1 = 0), find the value of (k). (2 points)
    c) Solve the equation (f(x) = 0) when (k = 2). (3 points)
    **22. P1:**
    A curve (y = f(x)) passes through the points with coordinates (A(-12, 10)), (B(0, -16)), (C(2, 9)), and (D(14, -10)).
    a) Write the coordinates of each point after the curve has been transformed by (f(x) rightarrow f(2x)). (4 points)
    b) Write the coordinates of each point after the curve has been transformed by (f(x) rightarrow f(-x) + 3). The homework is in Spanish I’m going to download the picture for you but this is the translation.

  • “Aplicaciones de los Conceptos Matemáticos en la Tecnología: Ejemplos y Relevancia en la Vida Real”

    Investigar y comprender cómo se aplican los conceptos matemáticos en campos de tecnología.
    Identificar ejemplos concretos de estas aplicaciones en situaciones reales.
    Comunicar los resultados de la investigación de manera efectiva.

  • “Analyzing Regional Housing Market Trends: A Statistical Approach” Title: Hypothesis Testing and Confidence Intervals: A Comparison of Regional and National Housing Data

    In this project, you will demonstrate your mastery of the following competency:
    Apply statistical techniques to address research problems
    Perform hypothesis testing to address an authentic problem
    Overview
    In this project, you will apply inference methods for means to test your hypotheses about the housing sales market for a region of the United States. You will use appropriate sampling and statistical methods.
    Scenario
    You have been hired by your regional real estate company to determine if your region’s housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report:
    Are housing prices in your regional market lower than the national market average?
    Is the square footage for homes in your region different than the average square footage for homes in the national market?
    For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market?
    You are given a real estate data set that has houses listed for every county in the United States. In addition, you have been given national statistics and graphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director. You will do so by completing the Project Two Template located in the What to Submit area below.
    Directions
    Introduction
    Region: Start by picking one region from the following list of regions:
    West South Central, West North Central, East South Central, East North Central, Mid Atlantic
    Purpose: What is the purpose of your analysis?
    Sample: Define your sample. Take a random sample of 500 house sales for your region.
    Describe what is included in your sample (i.e., states, region, years or months).
    Questions and type of test: For your selected sample, define two hypothesis questions (see the Scenario above) and the appropriate type of test for each. Address the following for each hypothesis:
    Describe the population parameter for the variable you are analyzing.
    Describe your hypothesis in your own words.
    Identify the hypothesis test you will use (1-Tail or 2-Tail).
    Level of confidence: Discuss how you will use estimation and confidence intervals to help you solve the problem.
    1-Tail Test
    Hypothesis: Define your hypothesis.
    Define the population parameter.
    Write null (Ho) and alternative (Ha) hypotheses. Note: For means, define a hypothesis that is less than the population parameter.
    Specify your significance level.
    Data analysis: Summarize your sample data using appropriate graphical displays and summary statistics and confirm assumptions have not been violated to complete this hypothesis test.
    Provide at least one histogram of your sample data.
    In a table, provide summary statistics including sample size, mean, median, and standard deviation. Note: For quartiles 1 and 3, use the quartile function in Excel:
    =QUARTILE([data range], [quartile number])
    Summarize your sample data, describing the center, spread, and shape in comparison to the national information (under Supporting Materials, see the National Summary Statistics and Graphs House Listing Price by Region PDF). Note: For shape, think about the distribution: skewed or symmetric.
    Check the conditions.
    Determine if the normal condition has been met.
    Determine if there are any other conditions that you should check and whether they have been met. Note: Think about the central limit theorem and sampling methods.
    Hypothesis test calculations: Complete hypothesis test calculations.
    Calculate the hypothesis statistics.
    Determine the appropriate test statistic (t). Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean, and the target is the national mean.
    Calculate the probability (p value). Note: This calculation is done with the T.DIST function in Excel:
    =T.DIST([test statistic], [degree of freedom], True) The degree of freedom is calculated by subtracting 1 from your sample size.
    Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.
    Relate the p value and significance level.
    Make the correct decision (reject or fail to reject).
    Provide a conclusion in the context of your hypothesis.
    2-Tail Test
    Hypotheses: Define your hypothesis.
    Define the population parameter.
    Write null and alternative hypotheses. Note: For means, define a hypothesis that is not equal to the population parameter.
    State your significance level.
    Data analysis: Summarize your sample data using appropriate graphical displays and summary statistics and confirm assumptions have not been violated to complete this hypothesis test.
    Provide at least one histogram of your sample data.
    In a table, provide summary statistics including sample size, mean, median, and standard deviation. Note: For quartiles 1 and 3, use the quartile function in Excel:
    =QUARTILE([data range], [quartile number])
    Summarize your sample data, describing the center, spread, and shape in comparison to the national information. Note: For shape, think about the distribution: skewed or symmetric.
    Check the assumptions.
    Determine if the normal condition has been met.
    Determine if there are any other conditions that should be checked on and whether they have been met. Note: Think about the central limit theorem and sampling methods.
    Hypothesis test calculations: Complete hypothesis test calculations.
    Calculate the hypothesis statistics.
    Determine the appropriate test statistic (t). Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean, and the target is the national mean.]
    Determine the probability (p value). Note: This calculation is done with the TDIST.2T function in Excel:
    =T.DIST.2T([test statistic], [degree of freedom]) The degree of freedom is calculated by subtracting 1 from your sample size.
    Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.
    Compare the p value and significance level.
    Make the correct decision (reject or fail to reject).
    Provide a conclusion in the context of your hypothesis.
    Comparison of the test results: Revisit Question 3 from the Scenario section: For your region, what is the range of values for the 95% confidence interval of square footage for homes?
    Calculate and report the 95% confidence interval. Show or describe your method of calculation.
    Final Conclusions
    Summarize your findings: In one paragraph, summarize your findings in clear and concise plain language.
    Discuss: Discuss whether you were surprised by the findings. Why or why not?

  • Title: Completing Worksheet Assignments in Order

    Course work, worksheets , please complete worksheet assignments in order please
    Important Info
    The order was placed through a short procedure (customer skipped some order details).
    Please clarify some paper details before starting to work on the order.
    Type of paper and subject
    Number of sources and formatting style
    Type of service (writing, rewriting, etc)

  • Title: Commuting Habits in Delaware and Pennsylvania: A Statistical Study

    “HOW MANY PEOPLE COMMUTE TO WORK FROM DELAWARE TO PA BY CAR OR TRAIN AND WHAT ARE THEIR AGES”
    Turnitin™
    This assignment will be submitted to Turnitin™.
    Instructions
    Mid-Semester Project
    Objective: 
    For this project, you will be posing survey questions of your choice to a minimum of 20 participants for a statistical study. You will collect data on and from these participants to answer several questions that explore topics we’ve learned throughout Units 1 and 2.  Make sure to include all work, along with tables and graphs, from the “Directions” section when you submit your assignment. 
    Why? 
    This project will help connect and apply concepts from Units 1 and 2 to a question that’s of interest to you so you can see real-life applications of the course material.  At the end of the semester, you will expand upon these results to connect topics from Units 3 and 4 for your End of Semester Project. 
    Note: 
    If turned in by the due date: You will have two weeks (one week for 7-week courses) from the due date to revise and resubmit, based on feedback from your instructor, if you would like to make any adjustments before your grade is submitted to the grade-book. Late projects won’t be accepted after the due date of the Unit 3 Wrap-up. 
    How? 
    Below is a sample project with directions and tips as well as a template to use to complete your project.  You will be graded according to the following rubric: Mid-Semester Project Updated.
    Click for sample: Mid-Semester Project Example
    See the directions and use this template to complete your project: Mid-semester project TEMPLATE and DIRECTIONS
    What to submit?
    Report your results in a formal typed paper, PowerPoint, and/or video presentation. Your final submission should be in Word, PDF, Excel, or PowerPoint form. If you choose to include a video, ensure your instructor can read and hear all appropriate information, and that you provided a video link or mp3/4 file.

  • Title: Solving Three Questions and Exploring Different Approaches Question 1: What is the best way to improve communication in a team? Explanation: Effective communication is crucial for the success of any team. It helps in building trust, increasing

    solve three questions and give explanation in each question. Afterthat,I want you to give me a script for each question as paragraph regarding what we did from first to end.

  • “Following Instructions: A Guide to Completing Assignments Successfully”

    please read the instructions carefully as you do this assignment. if you need any info pls feel free to text me

  • “Assessing the Financial Health of Jack and Lily Taylor: A Balance Sheet and Income Statement Analysis”

    In this assignment, you will complete a balance sheet for
    Jack and Lily Taylor to assess their liquidity and solvency. Use the
    information in the tables ( I have attached the tables) to
    complete the Lesson 2 Financial Statement Template (I have attached the template) by preparing:
    1.      
    The Balance Sheet
    2.      
    Income and Expense Statement for Jack and Lily
    Taylor.
    Note: The Excel document has two tabs, one for each assignment,
    and you must complete both worksheets for the assignment.