Category: Mathematics

 What information do you have and what information might you still need to solve this problem?

Solving Real World Problems

What information do you have and what information might you still need to solve this problem?
Type your response here:

What steps would you take to solve this problem? What formulas will you use? (if applicable)
Type your response here:

Explain how you would calculate the result. You can infer and add any additional details you feel you might need to create the calculation.
Type your response here:

Explain your result in the context of your original situation/problem. (e.g., based on my calculations, I would choose B over A because…).
Type your response here:

Explain your result in the context of your original situation/problem. (e.g., based on my calculations, I would choose B over A because…).

Solving Real World Problems

What information do you have and what information might you still need to solve this problem?
Type your response here:

What steps would you take to solve this problem? What formulas will you use? (if applicable)
Type your response here:

Explain how you would calculate the result. You can infer and add any additional details you feel you might need to create the calculation.
Type your response here:

Explain your result in the context of your original situation/problem. (e.g., based on my calculations, I would choose B over A because…).
Type your response here:
B. Scenario Choice 2: (enter your chosen scenario here)

What information do you have and what information might you still need to solve this problem?
Type your response here:

What steps would you take to solve this problem? What formulas will you use? (if applicable)
Type your response here:

Explain how you would calculate the result. You can infer and add any additional details you feel you might need to create the calculation.
Type your response here:

Explain your result in the context of your original situation/problem. (e.g., based on my calculations, I would choose B over A because…).

What is the size of ? Give your answer to 1 decimal place.What is the length of AC ? Give your answer to 1 decimal place.

Assorted Geometry

Calculate the distance EI. Write your answer in metres, correct to two decimal places.

Calculate the area of the side of the pool bound by ABCDEFA. Write your answer in square metres, correct to one decimal place.

Using your answer to part c., find the volume of water required to fill the pool. Write your answer correct to the nearest cubic metre.

The sloping section of the base of the pool bound by the rectangle BCGH is painted first and that section of the pool is filled before the flat section of the base is painted.

Calculate the volume of water required to fill the section of the pool with the sloping base, up to the level of the flat base.

Write your answer correct to the nearest cubic metre.
[Hint:Visualise the section that will be filled up with water and draw the 3-D diagram that represents it

What is the size of ? Give your answer to 1 decimal place.

What is the length of AC ? Give your answer to 1 decimal place.

Find the area of triangle ABC

 What is the average rating for all CBC movies? How about ABN movies and BBS movies? Provide a bar chart that compares these averages.

 Answer the following questions:

What is the average rating for all CBC movies? How about ABN movies and BBS movies? Provide a bar chart that compares these averages.

Include a table that shows the descriptive statistics using the data analysis tool pack in Excel for the ratings of the three networks (one column for each network).

Comment on how the networks are performing, by comparing and interpreting the metrics in the descriptive statistics table. Your analysis must extend beyond simply comparing the average ratings for each network.

Create a line graph of the monthly average ratings for CBC for the year. Note that there are multiple ratings data for the months; you will need to calculate an average for each month first, and then plot the averages. After you create the graph, fit a linear trend line and a 2nd order polynomial trend line, displaying the formula and the r-squared.

Explain to the executives if you can use this time series data to forecast the ratings of upcoming months. Which forecasting method is better? How accurate can you expect this forecast to be?

The executives wish to know if they should hire stars for their programs. To answer this question, run a hypothesis test to see if the ratings of shows with stars are higher compared to those without stars. Use the data for CBC movies only. Use 95% confidence.

Your answer should include the following:
The null and alternative hypotheses (state in full sentences).The test results: Run the test using Excel and include the output table. Use a t-test assuming equal variances.

What is your recommendation to the executives? Justify your answer referring to the relevant figures.

Run a multiple regression where the dependent variable is ratings and the independent variables are star and fact. Use data from CBC only. CBC Management has several questions:

Executives wish to know how much being fact-based or having one star contributes to a movies rating. What can you tell them about this?

Are either, both, or neither of the independent variables significantly related to the ratings at 95% confidence? Justify your answers referring to the relevant figures.

How well does this regression analysis explain the ratings? Should the executives count on the results from this analysis? Justify your answers referring to the relevant figures.

Explain how you would solve this problem by organizing a sample calculation.Explain why a bar graph is useful for organizing categorical data. Support your explanation with two different observations from the graph.

The Value of Organization in Math

Explain why organization was important in your thought process and calculation for an accurate solution. You should also reflect on how correct organization of a problem can help you in everyday life. Include real-world examples to support your response. Your answer should be a minimum of three sentences.

Explain how you would solve this problem by organizing a sample calculation.

Identify a situation that would fit into this scenario and explain how you would organize this calculation to solve it without a calculator. Assume a 5% sales tax rate. For full credit you will need the cost of the item, an explanation of how you would calculate the sales tax, and the total cost.

Explain why a bar graph is useful for organizing categorical data. Support your explanation with two different observations from the graph.

 How long will it be before All-Store starts operating at a loss?What do you think the results of your calculations will mean for the company?

Basic Quantitative Methods

The general manager wants to know what the impact will be on the business if sales continue to decline at the current rate and no action is taken. This can be broken down into two questions:

How long will it be before All-Store starts operating at a loss?

How long will it be before All-Store goes bankrupt?

How Long Before All-Store Starts Operating at a Loss?

What do you think the results of your calculations will mean for the company?

What specific actions would you recommend based on all of the available information? For example, what is a specific way for the company to cut costs?

How many peak and nonpeak hours are there during the week? Peak refers to busy times and nonpeak refers to less busy times.

What is the minimum labor cost per week?

What is the minimum number of people needed during store hours?

What is the difference in monthly cost between renting and buying?

Given the down payment required, how many months would it be before the purchase paid for itself?

Is a savings account a good way to earn interest? When looking at opening a savings account, what should you look for: higher interest rate or more frequent compounding?

Financial Report

Is a savings account a good way to earn interest? When looking at opening a savings account, what should you look for: higher interest rate or more frequent compounding?

Be sure to cite your sources for the interest rates from the chosen financia

How can we most affordably and effectively pay for the remodel of our kitchen which is pictured below?

Math 154 Research Project 3 (Group)

How can we most affordably and effectively pay for the remodel of our kitchen which is pictured below?

(Picture either provided by instructor or chosen by students)

(The implication is if we pay for it, we will need to define the work that was done.)