I have enclosed the packet to be completed. Some answers will be one word answers and some will be a sentence or two.

# Category: Mathematics

This project is for Math AA( Analysis & Approaches) In this project you will choose a topic and make a project similar to the examples I will provide. Please make the project the same criteria and organization as the examples. Use photos, graphs, etc. just follow the same criteria as the examples, I will add many. Also note that I want you to see the examples and come up with 3 topic ideas and send them to me before you start so my teacher can choose one of them and then you can start with the topic my teacher chose. Please send me the topics as soon as you can so I can show my teacher and we choose one. Don’t make the topics too broad btw, I want them similar to the examples. Also focus on the math not the writing, the math and the problem solving is very important for this project. Waiting for the topics thank you

Example 1- https://cloud.toddleapp.com/eu-west-1/p/content/X-jj4aBUU9.pdf Example 2- https://cloud.toddleapp.com/eu-west-1/p/content/rfwGNXM4k.pdf Example 3- https://cloud.toddleapp.com/eu-west-1/p/content/YzzBEpAieQ.pdf Example 4- https://cloud.toddleapp.com/eu-west-1/p/content/ulOJw6a87o.pdf Example 5- https://cloud.toddleapp.com/eu-west-1/p/content/yg2S5_52iv.pdf Example 6- https://cloud.toddleapp.com/eu-west-1/p/content/aKQWBZh13Z.pdf Example 7- https://cloud.toddleapp.com/eu-west-1/p/content/PoO2nOQWyv.pdf Example 8- https://cloud.toddleapp.com/eu-west-1/p/content/oQrQCHVAK.pdf Note: please make my project the same quality as the examples, because they are good.

Rivest, Shamir and Adleman (RSA) algorithm is one of the most well-known public key cyptosystem algorithms. Although it’s been in use for a long time, a few fruitful attacks have been designed to break it due to the way its derived.

The algorithm’s security is primarily based on the difficultly of factoring the product of two chosen large numbers. The RSA public key algorithm uses one key for encryption and another key for decryption and the choice of these keys

should be handled delicately. Many analysts have presented ways to improve the efficiency and resistance of the RSA algorithm. In this paper, we conceal the values of the publicly communicated parameters of public key, namely the

encryption key and common modulus, from the public. The implementation of this concept makes use of two separate algorithms and randomly selecting between them using a random number generator.

The choice is communicated to the receiver so they know the proper algorithm to use. Lastly, we will followa quicker implementation of the modular exponentiation technique used in RSA encryption and decryption.

Operations with Rational Numbers & Analyze and use Proportional Relationships and show your work for each

This project is for Math AA( Analysis & Approaches)

In this project you will choose a topic and make a project similar to the examples I will provide. Please make the project the same criteria and organization as the examples. Use photos, graphs, etc. just follow the same criteria as the examples, I will add many. Also note that I want you to see the examples and come up with 3 topic ideas and send them to me before you start so my teacher can choose one of them and then you can start with the topic my teacher chose. Please send me the topics as soon as you can so I can show my teacher and we choose one.

Example 1-

https://cloud.toddleapp.com/eu-west-1/p/content/X-jj4aBUU9.pdf

Example 2-

https://cloud.toddleapp.com/eu-west-1/p/content/rfwGNXM4k.pdf

Example 3-

https://cloud.toddleapp.com/eu-west-1/p/content/YzzBEpAieQ.pdf

Example 4-

https://cloud.toddleapp.com/eu-west-1/p/content/ulOJw6a87o.pdf

Example 5-

https://cloud.toddleapp.com/eu-west-1/p/content/yg2S5_52iv.pdf

Example 6-

https://cloud.toddleapp.com/eu-west-1/p/content/aKQWBZh13Z.pdf

Example 7-

https://cloud.toddleapp.com/eu-west-1/p/content/PoO2nOQWyv.pdf

Example 8-

https://cloud.toddleapp.com/eu-west-1/p/content/oQrQCHVAK.pdf

Note: please make my project the same quality as the examples, because they are good.

Write an essay on what career applications that I can do and apply my knowledge in applied mathematics. The paper must be at least 5 pages with at least 3 e.g., teachers, books, class notes) There must be a least of references at the end. It must be typed in to New roman 12-point type

To complete this project, perform the following tasks:

Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model.

Analyze the results of the experiment, and compare theoretical and empirical outcomes.

Design a binomial probability experiment.

Part 1 Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.

What are the possible outcomes and sample space of the experiment?

What were the results of the experiment? Show the results in table format.

What is the probability of each option?

How can a binomial probability experiment be set up to test the accuracy of the results?

Part 2.

Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.

Part 3.

Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100

100

random tests. For example, if the probability of success is 0.20

0.20

and the number of trials is 100,

100

,

then the number of successes is 20.

20

.

What are the numbers of trials, successes, and failures?

What are the results of the experiment?

What is the difference between the empirical and theoretical probabilities? Identify trends in the outcomes.

im enroled in the ib system and i need a math ia. i do sl ai math and my topic is How does a premier leagues goalies height affect their save percentage ratio in the season 2020/21? i need to have 12-20 pages and it has to fit the ib regulations

Scenario 1: A. Saving money at the grocery store by using unit pricing.

a. Toilet paper A is 6 mega rolls for $4.59.

b. Toilet paper B is 12 mega rolls for $9.02.

Scenario 2: B. Choosing a gym membership that fits my budget and lifestyle.

a. Gym A has a monthly payment of $50.

b. Gym B has a cost of $10 per visit.

MAT 143 Project: Conquering Quantity – Raiders of Machu Picchu

Machu Picchu is a fifteenth-century Incan ruin located in the Andes near the Peruvian city of Cuzco. As one of the few well-preserved pre-Columbian ruins, Machu Picchu was named a UNESCO World Heritage Site in 1983. Today, Machu Picchu is one of the most visited tourist destinations in Peru; but it has only been widely known for about one-hundred years. Hiram Bingham, one of the earliest visitors to the site, is often credited as the scientific discoverer of the Machu Picchu. He returned to Yale University from several archaeological visits to the site with bones and other artifacts over which there is still on ongoing dispute between the Peruvian government and the university. Bingham is often cited as the inspiration for Indiana Jones, and like the fictional scientist, Bingham may be seen as more of a tomb raider than an archaeologist.

In this project, you will plan a vacation to Cuzco, Peru to hike the Inca Trail and visit Machu Picchu. You will do basic unit conversions using dimensional analysis, use estimation to allot your budget, and learn about Peru. Toward the end of the process, you will also consider what it means to be a responsible visitor rather than a raider of Machu Picchu. Grab your trusty fedora and army surplus bag and hit the road.

YOUR ITINERARY

Day One: Fly to Cuzco, Peru.

Day Two: Enjoy Cuzco. Plan an activity in the city such as visiting a museum, shopping, or visiting a nearby archeological site.

Days Three through Six: Hike the Inca Trail and visit Machu Picchu.

Day Seven: Fly home.

To celebrate your college graduation, you plan to save $3000 to take a special vacation to Peru. In this part of the project, you will need to do some research to allocate funds for the different aspects of your trip. You will need to use a website such as Travelocity.com or expedia.com to estimate how much airfare will cost. You may use Travelocity, Expedia, or a travel guide from the library to estimate costs of staying in hotels or hostels, day trips around Cuzco, and the cost of hiking the Inca Trail. Travel guides can also help you decide how much you need to set aside for food and souvenirs. You might also take a look at the Explore By Yourself website: https://www.explorebyyourself.com/en/peru/ Once you have completed your research, fill in the Vacation Table and use it to total your costs. Remember, you only have an allowance of $3000, so plan wisely.

Air fare

Hotel

Tour Fees

Total

2. You will need to convert US dollars into Peruvian currency for use during your trip. You can use the site http://www.xe.com to answer questions (a) and (b).

(a) What is the currency used in Peru?

(b) What is the exchange rate between Peruvian currency and US dollars?

(c) Use dimensional analysis and your answer to part (b) to convert your US cash allowance into Peruvian currency.

3. Write your answers to the following questions in complete sentences. You will find www.timeanddate.com/worldclock/difference.html helpful.

(a) In which time zone is Cuzco, Peru located?

(b) Does Peru observe Daylight Savings Time?

(c) You are traveling in May. By how many hours does the time in Cuzco differ from North Carolina?

4. How long is the Inca Trail in kilometers? Given that 1 mile = 1.61 kilometers, how long is the Inca Trail in miles? Use dimensional analysis and show your work.

5. The first day of the hike, you cover 12 kilometers in 6 hours. What was your average walking speed in miles per hour? Use dimensional analysis and show your work.

6. Using the average walking speed and the length of the Inca Trail calculated in the previous problems, how long should it take you to walk to Machu Picchu? Use dimensional analysis and show your work.

7. What is the highest peak in North Carolina? How tall is it in feet? Write your answer in a complete sentence.

8. How tall, in meters, is the highest peak on the Inca Trail? Write your answer in a complete sentence.

9. Given 1 foot = 0.30 meters, use dimensional analysis to convert the height of the tallest peak on the Inca Trail to feet. Show your work.

10. Suppose you are taking your vacation in May. What is the average daytime temperature in degrees Celsius on the Inca Trail during that month?

11. Peru measures temperatures in the Celsius scale, while the United States records temperatures in degrees Fahrenheit. Convert the average temperature on the Inca Trail into degrees Fahrenheit given that F= 9/5 C+32.

12. How does the temperature in North Carolina compare with the temperature in Cuzco, Peru during May?

13. During your journey, you develop an abscessed tooth and have to visit the dentist. You are prescribed an antibiotic with a dosage of 7.5 mg/kg every six hours. If you weigh 120 pounds and the antibiotic comes in 250 mg tablets, how many tablets should you take each day? Use dimensional analysis and show your work.

14. If you need to take the pills for five days, how many tablets should the pharmacist give you when she fills your prescription?

Many places like Machu Picchu where no-one lives have large numbers of visitors. Those people affect the place they are visiting, and the more of them there are, the greater the effects of their presence will be. In the next several questions, we’ll examine just how many people visit Machu Picchu each day, consider their effect on the site, and contemplate how to be responsible visitors rather than raiders.

15. Machu Picchu currently has about 18000 visitors daily. The area of Machu Picchu is about 13 km2. Calculate the daily visitor density, or how crowded Machu Picchu is, in daily visitors per square mile. Use dimensional analysis and show your work.

16. Carrboro is the most densely populated town in North Carolina. Go to ZipAtlas http://zipatlas.com/us/nc/city-comparison/population-density.htm and look up the population density of Carrboro in people per square mile. How does this compare with the daily visitor density you calculated for Machu Picchu? Write your answer in complete sentences.

17. The many visitors to Machu Picchu are affecting the environment and people who live near the site. What is being done to help protect Machu Picchu? What is being done to help the people who live in the nearby towns? How can you be a responsible traveler during your visit? Read the following articles and write a paragraph to answer these questions.

Can We Protect Machu Picchu? (n.d.). Retrieved March 27, 2015, from http://www.ethicaltraveler.org/2011/10/can-we-protect-machu-picchu/

Saving Machu Picchu (n.d.). Retrieved June 28, 2020 from https://www.smithsonianmag.com/travel/saving-machu-picchu-153497816