-what information do you need in order to find the area or circum-stance of a circle
-to determine the number of full rotations your tires complete before you need to switch the front and back tires will you be working with area or circumference?
1.Mearure sure the circumference of the tires of three different vehicles vehicles can include cars bikes scooters tractors etc.
2.Determine the number of full rotations the tire of each of the vehicle will complete in 10,000 miles show your work for each calculation.
3. Choose one of the vehicles and keep track of how far you travel in that vehicle for a week calculate the average daily number of rotation made by the tires
4. Use your data to predict when you will need to switch the front and back tires.
a paragraph explaining what would happen to the number of rotations if your tires’ circumference increased by 20%
a paragraph explaining what would happen to the number of rotations if your tires’ circumference decreased by 20%
The Miami Casino, an integrated resort, has the following results for this year:
3,650,000 annual customers:
3,000 slot machines, daily net win of $300 per machine; What is the daily revenue? What is the annual revenue?
He casino drops half of the floor every day. Assuming one day’s activity, How much money do they count daily?
2,000 hotel rooms, 90% occupancy, $200 avg. daily rate; What is the annual revenue?
50% of the customers have Beverages with an average $25 per capita expense; What is the daily revenue? What is the annual revenue?
50% of the customers have Food with the total annual revenue of $91,250,000; What is the daily per capita?
25% of the customers park their car at a daily fee of $25; What is the annual revenue?
The casino has a 2,500 seat arena with 50 events annually. Each event sells out and generates $250,000; What is the annual revenue?
The sports book has $60,000,000 in wagers annually with a 5% hold; What is the annual revenue?
The race book has a 4% hold and generates $800,000 annually; What is the amount of annual wagers?
List five major expenses of the casino (just categories, no numbers necessary);
The casino has a coin in on a day of $5,000,000 and a win of $300,000; What is the hold (win) percentage.
The casino, on another day, has a hold percentage of 7%, which is $350,000; How much is the coin in for that day?
If you assume a state tax of 35%, what is the net revenue on $350,000 win?
Give me your takeaways on one of the articles that you read.
Decimals can be difficult to understand at times, but students often find them easy to compute with. Describe at least three real world areas where we commonly use decimals and an activity that would relate this to your students. Remember to be detailed.
*Grading rubic attached
Project 1: Airline Overbooking
You are all packed an ready to go on a trip to New York City. After you check in at the ticket counter, the airline clerk announces that your flight has been overbooked. Passengers need to chek in immediately to determine whether they still have a seat.
Historically, airlines know that only a certain percentage of passengers who have made reservations on a particular flight will actually take that flight. Consequently, most airlines overbook= that is, they take more reservations than the capacity of the aircraft. Occasionally, however, more passengers will want to take a flight than the capacity of the plane, leading to one or more passengers being bumped and thus unable to take the flight for which they had reservations.
Airlines deal with bumped passengers in various ways. Some are given nothing, some are booked on later flights on other airlines, and some are given some kind of cash or airline ticket incentive. Consider the overbooking issue in light of the following COVID situation:
1. Fewer flights by airline from point A to point B.
2. Higher security, vaccine controls and mask mandates at airports.
3. Passenger’s fears to get infected with COVID-19.
4. Loss of billions of dollars in revenue by airlines during the pandemic.
Your time has been hired by an international airline for advise on the best possible strategy to resolve overbooking situations.
Build a mathematical model that examines the effects that different overbooking schemes have on the revenue received by an airline company in order to find an optimal overbooking strategy, that is, the number of people by which an airline should overbook a particular flight so that the company’s revenue is maximized. Ensure that your model reflects the issues above, and consider alternatives for handling bumped passengers. Additionally, write a short memorandum to the airline CEO summarizing your findings and analysis.
IMPORTANT NOTE; As I mentioned to you last time, start writing a survey of finding maximum and minimum of functions, including constraint minimizers (Lagrange multipliers) as in your calculus book. This should be your background material. Also you may use as a guide and source of materials, the book that I also mentioned by Mark M. Meerschaert ‘Mathematical Modeling” (electronic copy available at the UMN library). Another good approach is to go to the math library and search the shelf on optimizatioN.
In the Segment Two Honors Project , you will use your statistical knowledge to make an educated determination as to the effectiveness of the Power Pill.
The vitamin company that produces Power Pill claims that it increases hair growth while you sleep. In order to validate this claim, you must perform a series of statistical evaluations on the data and then make your final analysis.
First, the research participants must be divided into two groups—one receiving Power Pill and one receiving the placebo. Then the board of research expert doctors must be chosen, including a director, assistant director, quality control analyst, and correspondent.
Task 1 (of 3)
The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board officers.
There are 40 volunteers for the research study on the Power Pill. Each subgroup of the study will contain 10 participants. Determine how many ways these participants can be selected and explain your method.
There are 15 research doctors participating in the study and the research board needs to be established with the offices of director, assistant director, quality control analyst, and correspondent. (Doctors can only hold one office on the research board.) Determine how many ways this research board can be chosen and explain your process.
Task 2 (of 3)
In Task 1, you selected the participants’ groups and assigned roles for the research board. For Task 2, you will now analyze the data collected from the groups.
The study participants were divided into four groups—two groups received the Power Pill (Group A and Group B) and two groups received a placebo (Group C and Group D). The effects of the Power Pill were measured. One group that received the Power Pill (Group A) and one group that received the placebo (Group C) were told of the anticipated effects of the Power Pill—accelerated hair growth—while the other two groups (Group B and Group D) were not provided with this information. All four groups were told to monitor and report any physical changes during the study.
Results were reported and participants were grouped as to either “Saw Results,” meaning that participants reported increased hair growth as part of physical changes during the study, or “No Results,” meaning that increased hair growth was not mentioned as part of physical changes during study.
Results are as follows:
6 in Group A saw results.
7 in Group B saw results.
5 in Group C saw results.
4 in Group D saw results.Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
What is the probability that a person saw results, given they received the Power Pill? What is the probability that a person saw results, given they received a placebo? Explain in terms of the study.
What is the probability that a person received the placebo, given that they did not see results? What is the probability that a person received the Power Pill, given that they did not see results? Explain in terms of the study.
Task 3 (of 3)
Based on your knowledge of fair decision making and probability concepts, should the Power Pill be produced and distributed? Explain your reasoning.
What effect (if any) did telling two groups about expected outcomes have on results? Use statistics to provide proof for your reasoning and explain.
Are there any flaws in the testing process? Should any of the steps or protocol be changed/avoided during round two of testing? Explain your reasoning.
To be eligible for extra credit, you must submit your answers via this quiz by 5:00pm (Pacific Time) on Wednesday, April 13th. If you get 80% or better, you will receive 4 extra credit points. Follow the below instructions for formatting your answers precisely.
If your answer is 1 or 0, you may simply input “1” or “0”. If your answer is between 0 and 1, you may input your answers as fractions or decimals.
If you input your answers as fractions, the fractions must be in simplest terms, with whole integers in the numerator and denominator. For example, the fraction 12/24 is not in lowest terms—it must be reduced to 1/2. When you enter your answer, enter the numerator, then a “/”, then the denominator. Do not include any spaces in your answer—e.g., write “1/2”, not “1 / 2″ or ” 1 /2″.
If you input your answers as decimals, you should round your answer to the 2nd significant digit. When you enter your answer, start with a 0 and a decimal point “0.”, then however many zeros are necessary, and finally the two significant digits. Again, do not include any spaces in your answer—e.g., if you get the answer 1/52=.0192307…, you should input the answer as “0.019”, not “.019″ or ” .019″ or “.0192” or “. 019” or “.02”. If the decimal has less than 2 significant digits, e.g. 2/5=.4, you can input the answer as “0.40” or “0.4”.
Part 1: Write a complete proof for Croom Ch 4.4 #9(b).
Part 2: Next, write a complete proof for Croom Ch 4.4 #10.
As with Writing Assignment #1, use a solid organizational structure: – State the hypotheses – State the conclusions – Clearly and precisely prove the conclusions from the hypotheses – Results presented earlier in the text may be used and must be clearly documented A few notes about format: use Microsoft Word; use Equation Editor for all mathematical symbols, e.g. x ∈ X or Cl(A) ⋂ Cl(X-A); and use the fonts Cambria and Cambria Math in size 11 so your typed work is the same font as your equations.
Use a regular scanner to scan your homework, save, and then upload to Canvas.
Use a free smartphone app that can be used to take pictures and create a pdf document:
Microsoft Office Lens in the Google App Store (Links to an external site.) or Apple App Store (Links to an external site.) (you will need a one drive account which every student at our school gets for free).
TapScanner in the Google App Store (Links to an external site.) or Apple App Store (Links to an external site.)
You could create a word document and paste your pictures (by first sending them to your email and then downloading them to your computer). Finally, you can print the document and use the feature “Print to PDF”.
Please see below for Assingment descrption. I will be attaching the reading and the questions below needs to be answered. Thanks
** After reading Linneman, Chapter 3 (Central Tendency and Variation), answer the following questions:
a) Discuss your understanding of the concept “Measure of Central Tendency”;
b) Identify two (2) commonly used measures of central tendency and discuss the strengths and weaknesses of each measure;
c) When describing a data distribution, why is it necessary to assess the variation around the mean?
d) Discuss the various ways in which the variation around the mean can be assessed.
– Select and discuss a graph, G, with thickness 2 — Show the graph and provide all of the descriptive information — Show the planar graphs that can be superimposed to form G – Select and discuss a graph, H, with thickness 3 — Show the graph and provide all of the descriptive information — Show the planar graphs that can be superimposed to form H – Select and discuss a maximal planar graph with 8 vertices — Show the graph and provide all of the descriptive information — Discuss how the addition of a single edge creates a graph of thickness 2 — Show the planar graphs that can be superimposed to form the graph with its additional edge – Discuss some generalizations about graphs of thickness 2 — Let us know what you learned during this project — Provide additional graphs as required A few notes about format: use MS PowerPoint for your presentation; develop a presentation that is 10-20 slides in length; incorporate audio files into your presentation in order to explain your work; use Equation Editor for all mathematical symbols, e.g. x ∈ X or Cl(A) ⋂ Cl(X-A); and select fonts, backgrounds, etc. to make your presentation look professional.