GC MAT144 Week 1 Discussion 1 & 2
dq 1
Choose one country that you might visit during your mission trip for the course project. Select a duration for your trip between two and six weeks, and then choose a number of participants between 5 and 10 people. Suppose one goal of your group is to speak to every adult citizen in the country. How many citizens must each missionary need to talk to per day, per hour, and per second to speak to every adult citizen in that country? Is that goal reasonable?
dq 2
A deductive argument is valid if the conclusion necessarily follows from the premises. It is sound if it is valid and the premises are true.
Pick three of the following arguments and clearly explain why each argument is or is not valid or sound.
1. 1. No human lives in outer space. Susie lives in outer space. Thus, Susie is not human.
2. 2. All birds can fly. Ostriches are birds. Therefore, ostriches can fly.
3. 3. All jobs are easy. Walking is not a job. Hence, walking is not easy.
4. 4. When it rains, it snows. It is snowing. Therefore, it is raining.
5. 5. No dog is a cat. Billy is a cat. Thus, Billy is not a dog.
6. 6. If someone is a medical doctor, they are smart. Dr. Oz is a medical doctor. So, Dr. Oz is smart.
7. 7. Whichever candidate receives the greatest share of the popular vote is elected President of the United States. Al Gore received more votes than George Bush. Therefore, Al Gore was elected President of the United States.
MAT144 Week 2 Discussion
dq 1
From the Course Materials, click the link to The World Factbook on the CIA website to find the current population and growth rate for a country of your choice. Use the population growth model below to predict the population of the country 1 year from now, 10 years from now, 100 years from now, and 1000 years from now. Are all of these predictions appropriate? Why?
Use the model P(t) = P0(1+r)twhere
P0= current population
r = the population growth rate
t = time in years from now
P(t) = population t years from now
dq 2
In DQ 1, you predicted the population 10 years from now for the country you chose. Now calculate another projection of the population for 10 years from now and add 1% to the growth rate. Did the new 10-year population projection also increase by 1%? What do your findings signify?
MAT144 Week 3 Discussion
dq 1
What is percent? Write the formula for percent increase. Write your height in inches. Suppose it increases by 15%, what would your new height be?
dq 2
Choose two of the following statements and determine whether each makes sense. Support your reasoning with calculations.
1. 1. I have $100 and my restaurant bill comes to $81, which is not enough to leave a 20% tip.
2. 2. I found the percent decrease in a jacket’s price to be 120%.
3. 3. My weight increased by 2% in January. My new weight decreased by 2% in February, so I am back at my original weight.
4. 4. My rent increased from 20% to 30% of my monthly income, so the percent increase in my monthly rent check is 10%.
5. 5. At a clearance sale, the price of a pair of boots is half off the original price. I also have a coupon for half off the clearance price. If I use this coupon, I can get the pair of boots free.
6. 6. The final price after tax of a stereo is $110.00. The tax rate was 10%. $110-$110*.10 = $99, so the price before tax was $99.
7. 7. I bought a jacket that was first marked down by 20% and then was reduced another 30%. Therefore, I saved 50% on the jacket!
8. 8. A population of mites increased fourfold in four days. This means the population doubled in two days.
MAT144 Week 4 Discussion
dq 1
Use the digits of your birthday as the amount of your initial investment (i.e., 6/25 is $625), calculate the value of this investment after 10 years at 3.5% APR for interest compounded yearly, quarterly, monthly, and daily. What do you notice?
dq 2
Choose two of the following statements and determine whether each makes sense. Support your reasoning with calculations.
1. 1. Assuming that a 3-year car loan has a lower interest rate than a 5-year loan, people should always select the 3-year loan.
2. 2. After depositing $1,500 in an account with an APR of 4%, my balance at the end of the first year was $(1,500)*(1.04).
3. 3. I have $1,000 to invest. One account will pay 5% interest the first year and 10% interest the second year. Another account will pay 10% interest the first year and 5% interest the second year. It does not matter which account I choose, because I will end up with the same amount of money either way.
4. 4. I can put away $1,000 towards retirement today or $1,000 ten years from now. Either way I have invested the same amount so I will end up with the same amount when I retire in 25 years.
5. 5. I like to keep all my money, so I pay only the minimum required payment on my credit card.
6. 6. If I can afford to pay for a car out of pocket, I should still take out a loan and make only the monthly minimum payments. That way, the money in my savings account will continue to grow.
7. 7. Bank A compounds interest once a month, and has no charge for a checking account. Bank B compounds interest every day, but there is a $2/month charge for a checking account. Both banks yield 1.2% APR. Bank A is always the best deal.
8. 8. If it takes 20 years for a $100 dollar investment to double in value at a certain bank, then it should also take 20 years for a $500 investment to double in value.
MAT144 Week 4 Mission Project: Part B Peer Review Forum
Please follow these steps:
1. 1. Begin by posting a draft of Mission Project: Part B by the Wednesday, Day 3 of Topic 4 to the Project Peer Review Forum.
2. 2. Next, review the project of the person who posted his/her response directly below yours in the Peer Review forum. If your draft is the last posted, review the first draft posted. Then, complete the “Peer Review Worksheet” (see attachment).
3. 3. You will then need to post your completed Peer Review Worksheet to TWO places: to the Mission Project B: Peer Review Forum for your peer to view, as well as to the Mission Project B: Peer Review assignment box, so the instructor can grade your work by Friday, Day 5 of Topic 4.
4. 4. Attach the file with your completed Peer Review Worksheet to the Project Peer Review Forum as a “reply” to the initial post of your peer’s first draft.
5. 5. Please note that to participate in the peer review process you must post the rough draft of Mission Project: Part B essay by 11:59 pm (AZ time) Wednesday, Day 3 of Topic 4.
If you do not submit the Rough Draft or Peer Review Worksheet to both places or if you review the wrong person, you may not receive full credit for this assignment.
MAT144 Week 5 Discussion
dq 1
Take two distinct die that you can easily distinguish from one another or use an online virtual dice roller such as https://www.random.org/dice/. Identify one as Die 1 and the other as Die 2. Using the spreadsheet provided by your instructor, record the results of 20 rolls of the dice. Input the results of each roll for Die 1 and the sum of Die 1 and Die 2 on the spreadsheet to make a scatterplot of the results. Do you think that these two variables are strongly or weakly correlated? Should the correlation be positive or negative? Does the scatter plot agree with your intuition?
dq 2
Suppose you want to determine the typical income of a full time worker in America. Describe how you would sample the population without creating a bias in your sample and justify your reasoning.
MAT144 Week 6 Discussion
dq 1
Roll two dice and add the numbers. Roll the dice 20 times and record your results. Compute the mean, median, and mode for your data set. Now, replace one of your results with 100. Calculate the mean, median, and mode for this new data set. How did these change?
dq 2
According to the National Center for Health Statistics, the mean height of an American male is 69.3 inches and the mean height of an American female is 63.8 inches. The standard deviation for both genders is 2.7 inches. Assume height is approximately normal for each gender. Calculate your z-score within your gender. Find your percentile using Table 6.3 on page 396 of your text. What percent of your gender is shorter than you are? What percent is taller than you?
MAT144 Week 7 Discussion
dq 1
A friend invites you to play a game of chance that costs you $1 every time to play. You get to pick one card. You win if you pick the ace of spades. Otherwise, you lose. The amount that you win will be $(40 + the day of your birth). Example: If you were born on the fourth of July, you would win 40+4 = $44. What is the expected value of the amount you will win from each turn? Would it be a good idea to play this game only one time? Would it be a good idea to play 1,000 times?
dq 2
Every license plate consists of numbers and letters. What is the license plate on your personal vehicle or some random vehicle in your state? Determine how many possible license plates could be manufactured using the pattern of numbers and letters on this license plate.
MAT144 Week 1 Assignment
Details:
Refer to MathXL Student Instructions and Online Student Help, located on the Tools for Success page in the Student Success Center, for information on how to access and use MathXL.
If you are not already familiar with the use of MathXL, spend some time navigating in your MathXL course and complete the MathXL orientation assignment.
MAT144 Week 2 Assignment
Details:
Imagine that you are planning to conduct a mission trip in 5 years. Refer to the attached resource MAT-144 Mission Trip: Part A for complete assignment instructions.
Include three or more scholarly resources, including the textbook and The World Factbook.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
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 Turnitin. Please refer to the directions in the Student Success Center.
MAT-144 Mission Project: Part A
Use the following resource to assist you in completing Part A of your Mission Trip assignment.
Imagine that you are planning to conduct a mission trip in 5 years. You should select a specific mission for this project to provide some kind of humanitarian aid to the target population. Many people choose to include evangelism as a part of their mission, though the main goal must be humanitarian. The mission goal may include providing education, medical assistance, clean water, food, or aid.
To keep your mission reasonable, in scale and goal, design your mission to include yourself and 5 – 10 other participants and to be 2 – 4 weeks in duration. Because the mission group is small and the duration is not long, consider goals that can reasonably be accomplished within the allotted time. Choose a small target population for your mission. For example, if you want to bring medicine to two small villages in Peru,the villagers are your target population. It is not reasonable to try to bring medicine to the entire population of Peru with a small group of missionaries on a month long trip.
Choose three countries from the Country Data Spreadsheet providedin the Course Materials thatyou would consider going to for your mission trip. Research each country using The World Factbook found on the Central Intelligence Agency website at.cia.gov/library/publications/the-world-factbook/”>https://www.cia.gov/library/publications/the-world-factbook/, other resources such as the U.S. Department of State website at.state.gov/content/travel/english.html”>http://travel.state.gov/content/travel/english.html, and the GCU Library. Consider economic reasons for choosing these countries, and safety concerns that may be relevant to these countries and your mission goals. Remember that you would not go aloneon this trip and you are responsible for the safety of the other participants, in addition to your own.
Write a 400–600 word narrative describing your mission and why the three chosen countries are appropriate for your mission.Specifically, address the following in your assignment:
1) What is the purpose of your mission trip? In general, mission trips fall into three categories – providing aid in the form of supplies, providing education, and providing services such as medical clinics and building houses.
2) What is the target population? How does it compare with the entire population and what will it look like in 5 years? This will require use of the population information available from The World Factbook in conjunction with the information in Chapter 8 and Chapter9 of the text.
You are required to discuss your target population andits projected size in 5 years. This material is covered on pp. 480 – 483. Assume that the annual growth rate of the target population is the same as that of the country’s total population growth rate and that it will remain consistent at the most recent rate available. Show your work for all calculations using the Equation Editor inMicrosoft Word.
Example: Suppose you have $39,815.00invested at 8% APR over 5 years and the interest is compounded once per year. The formula for the final value of your investment from p. 216of your textbook gives
This is how your math should be formatted. See Part B instructions for other examples.
While this is a fun project, the goal is to assess the mathematics you are learning, so you must include your calculations, make sure they are correct and clearly written.
3) What are the economic reasons for choosing these countries? Use economic information you find in The World Factbook and other resources.
4) Why are the countries you chose are good candidates for a mission trip?
5) What are possible safety concerns that might arise in conjunction with your trip? Conduct additional research as necessary to address this concern. The U.S. State Department website is one source of information.
6) Include a paragraph in which you decide which one of the three countries to choose to complete the mission. Apply logical reasoning to make your choice. The logic you use in making these decisions must be clearly explained.Explain why that country is a more appropriate candidate than the other two countries.
Include three or more scholarly resources, including the textbook and The World Factbook.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
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 Turnitin. Please refer to the directions in the Student Success Center.
MAT144 Week 4 Mission Project: Part B Peer Review Assignment
Details:
Please follow these steps:
1. 1. Begin by posting a rough draft of your project by the deadline to the Mission Project: Part B Peer Review Forum by Wednesday, Day 3 of Topic 4.
2. 2. Next, review the project of the person who posted his/her response directly below yours in the Peer Review forum. If your draft is the last posted, review the first draft posted. Then, complete the “Peer Review Worksheet” (see attachment).
3. 3. You will then need to post your completed Peer Review Worksheet to TWO places: to the Mission Project: Part B Peer Review Forum for your peer to review, as well as to the Mission Project: Part B Peer Review assignment box, so the instructor can grade your work by Friday, Day 5 of Topic 4.
4. 4. Attach the file with your completed Peer Review Worksheet to the Mission Project: Part B Peer Review Forum as a “reply” to the initial post of your peer’s first draft.
5. 5. Please note that to participate in the peer review process you must post the rough draft of your Mission Project: Part B essay by 11:59 pm (AZ time) on Wednesday, Day 3 of Topic 4.
If you do not submit the Rough Draft or Peer Review Worksheet to both places or if you review the wrong person, you may not receive full credit for this assignment.
MAT-144Peer Review Worksheet
For ground students: review two students one time, online:review one student one time.
Part of your responsibility as a student in this course is to provide quality feedback to your peers that will help them to improve their writing skills. This worksheet will help you practice providing that feedback.
Author’s name:
Peer reviewer’s name:
Reviewer
After reading through the draft, write a summary (three to five sentences)of the paper that includes your assessment of how well the essay meets the assignment requirements as specified in the syllabus and the rubric.
Summary:
Considereach of the following questions as you review the paper. Please be sure to indicate at least three positive aspects of the draft and at least three areas for improvement in reply to the questions at the bottom of this worksheet. Positive answers will give you specific elements of the draft to praise; negative answers will indicate areas in need of improvement and revision.
ReviewContent and Ideas
· How effectively does the essayidentify the main points that the writer would like to make?
· Is the logic the writer used to establish the content written in the paper clear?
· Does the writer use examples and concepts from the text to support his or her decision?
· How effectively does the essay’s content support the overall goal of the paper?
Organization
· How effectively does the introduction engage the reader while providing an overview of the paper?
· How effectively do the paragraphs develop the topic sentence and advance the essay’s ideas?
· How effectively does the conclusion provide a strong, satisfying ending, not a mere summary of the essay?
Format
· How closely does the paper follow GCU formatting style?Is it double-spaced in 12 pt. Times New Roman font?Does it have 1″ margins? Does it use headers (page numbers using appropriate header function)?Does it have a proper heading (with student’s name, date, course, and instructor’s name)?
· Are all information, quotations, and borrowed ideas cited in parenthetical GCU format?
· Are all sources listed on the references page in GCU format?
· Is the required minimum number of sources listed?
Language Use and Style
· Are the voice and tone of the essay effective in characterizing ideas and creating the appropriate mood?If “No,” please provide examples of ineffective or inappropriate voice and tone.
· How effectively does the paper incorporate a variety of sentence structures that strengthen the ideas, create vitality, and avoid choppiness in the writing?
· How would you assess the writer’s diction (i.e., word choice)? Does the writer use active verbs, concrete nouns, and precise words?
Grammar and Mechanics
· Does the writer use proper grammar, punctuation, and spelling?If “No,” please provide examples of errors in need of correction.
· Is the writing clear and comprehensible throughout the draft?If “No,” please provide examples in need of improvement.
Three things that I liked about your draft are:
1.
2.
3.
Three things that could be improved are:
1.
2.
3.
MAT144 Week 4 Mission Project: Part B Assignment
Details:
Continue with the country you selected in Mission Project: Part A. Refer to the resource Mission Project: Part B for complete assignment instructions.
Include three or more scholarly resources.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
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 Turnitin. Please refer to the directions in the Student Success Center.
Note: You are required to post a rough draft of your Mission Project: Part B for peer review by Wednesday, Day 3 of Topic 4. Refer to the Mission Project: Part B Peer Review assignment for complete instructions on the peer review.
MAT-144 Mission Project: Part B
Use the following resource to assist you in completing Part B of your Mission Trip assignment.
Adding to the paper you submitted for Part A of your project, develop a financial plan to fund your proposed mission project to that country. Write an additional 500–750-word narrative describing the country of your choice, the expenses you expect to incur for the trip, and how you will pay for those expenses. Your paper must include a budget in table format. Use the Budget Worksheet spreadsheet to assist you in creating your budget.
Include the following in your paper:
Provide reasonable estimates for the expenses that will be incurred during your trip and the sources used to create the estimates. These include at a minimum: transportation, supplies, food, and lodging.
For any expenses that will be incurred outside the United States, you must provide the amounts in both U.S. dollars and the local currency. Use the current exchange rate, and be sure to cite and reference your source according to GCU style.
Calculate several different ways to pay for your trip using the savings and loan information from Chapter 4 of your textbook, incorporating the following points into your plan.
You already have 10% of the money needed for your trip, which begins in five years. You decide to invest that money at 4% APR compounded quarterly. Calculate out how much this will grow to by the start of your trip using the Compound Interest Formula from p. 216 of your textbook.
A(t)=A_0 (1+r/N)^(N?t)
Here A(t) = value of the account after t years, A_0= the initial investment, r= APR (written as a decimal), N= number of times compounded per year,t= number of year.
A philanthropic company, Missions-R-Us, has agreed to give you $100 each month from now until the trip starts. This money will be invested in an account that earns 6% APR compounded monthly. Figure out how much this will amount to by the start of your trip using the Savings Plan Formula on p. 228 of your textbook.
A(t)=(PMT?((1+r/N)^(N?t)-1))/((r/N) )
Here PMT= the monthly contributions, r= annual interest rate as a decimal, N= number of times compounded annually (12 – once per month), t= time of the loan in years, A(t)= value of account after t years.
The remaining balance must be taken out as a loan. If the above will pay for your entire trip, you must still investigate these loan scenarios. You can consider taking out a $10,000 emergency fund at these rates. There are two banks willing to offer you a loan. Bank A will lend you a 5-year loan at 9% APR compounded monthly with monthly payments. Bank B will lend you a 10-year loan at 12% APR compounded monthly with monthly payments. Calculate the payment for each of these loans using Loan Payment Formula on p. 249 of your textbook and discuss the reasons for choosing one or the other.
PMT=(P?(r/N))/(1-(1+r/N)^(-N?t) )
Here P= the initial loan amount, r= annual interest rate as a decimal, N= number of times compounded annually, t= time of the loan in years, PMT= your monthly payment
Include all calculations, including the formulas used, formatted with the Equation Editor in Microsoft Word. If you use a spreadsheet to check your calculations, include the spreadsheet as a separate attachment.
Include three or more scholarly resources.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
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 Turnitin. Please refer to the directions in the Student Success Center.
MAT144 Week 6 Mission Project: Part C Statistical Study Assignment
Details:
Refer to Mission Project: Part C Statistical Study Resource for complete assignment instructions. Complete Mission Project: Part C Worksheet using the included Part C Data spreadsheet first and then prepare your written report according to the instructions. Submit both the completed worksheet and written report to your instructor.
Include two or more scholarly resources.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
This assignment uses a scoring guide. Review the scoring guide prior to beginning the assignment to become familiar with the expectations for successful completion.
You are required to submit this assignment to Turnitin. Please refer to the directions in the Student Success Center.
MAT-144 Mission Project: Part C Statistical Study Worksheet
Answer the following based on the data presented in the included Part C Data spreadsheet. You will use the analysis you complete here to prepare a written report of your findings. Be sure to submit your written report and completed worksheet to your instructor.
1) Record the mean and median of each group of samples.
1. a. Original sample collected by mission team
2. i. Mean
3. ii. Median
4. b. Villager supplied sample
5. i. Mean
6. ii. Median
7. c. Student biologist collected sample
8. i. Mean
9. ii. Median
2) Look at the box plots and histograms for each of the datasets. Record any differences you notice in the charts. Does it appear from the charts that the villagers have access to cleaner water after the mission?
3) The mission team wants to do a statistical test to support whether or not the villagers have access to cleaner water. State the null and alternative hypotheses that can be used to test the data.
4) The results of a statistical test to compare the means of the samples are shown on the spreadsheet. Determine if there is statistically significant evidence that the means are different at the ? = 0.05 level.
MAT-144 Mission Project: Part C Statistical Study
Use the following resource to assist you in completing Part C of your Mission Trip assignment. You will also use Mission Project: Part C Worksheet and Part C Data spreadsheet to complete this assignment.
A friend of yours has recently come back from a mission trip. The mission team has collected some data. They need help analyzing this data and because you have just taken a math class and have been planning your own mission trip, your friend has asked you to help out.
The purpose of the mission trip was to bring clean water to a village in Sierra Leone. When the group arrived they took a sample of water from each of 100 randomly selected households around the village. One of the trip participants is planning to major in biology, so she was put in charge of analyzing the number of microbes in each water sample.All of this group’s data can is found in the included spreadsheet.
The group spent the next few weeks digging several wells around the village. The wells each produced clean water. However, the group was not sure whether the villagers would all use the wells to get all of their water or if they would continue to use their old water sources too. The group decided to take another sample of water from another 100 households one month after the wells were dug. To save time, they asked villagers to bring in samples of their water from home. They accepted the first 100 samples.
The group’s aspiring biologist who analyzed the data was worried about the integrity of the water samples that the villagers brought in themselves. At the last minute, she decided to collect some samples herself. She only had time to collect 20 samples from random households.
Analyze the data and record the results on the worksheet provided. You will use the results to write the report of your analysis of the data:
Once you complete your statistical calculations, prepare a report of your findings. Write a 750-1,000-word report of your analysis of the data for the mission team.Include the following in your report:
1) Report why you think that either the mean or the median is a better measure of central tendency in this case.Is the best measure of central tendency the same for all three samples?
2) Discuss the differences that you noticed between the samples when you reviewed the box plot and histograms.
3) Identify the null and alternative hypotheses.
4) Discuss the results of the statistical test. Be sure to include discussion of the statistical significance.
5) Consider the eight guidelines for a evaluating a statistical study found in section 5B of the textbook. Focus on the following guidelines in your analysis.
1. a. Guideline 1-Identify the Goal, Population, and Type of Study
2. b. Guideline 3-Look for Bias in the Sample
3. c. Guideline 4-Look for Problems in Defining or Measuring the Variable of Interest
4. d. Guideline 7-Check that the Results are Presented Fairly (Do the graphics appear to accurately represent the results?)
Include two or more scholarly resources.
Prepare this assignment according to the guidelines found in the GCU Style Guides and Templates, located in the Student Success Center.
This assignment uses a scoring guide. Review the scoring guide prior to beginning the assignment to become familiar with the expectations for successful completion.
You are required to submit this assignment to Turnitin. Please refer to the directions in the Student Success Center.