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UMES Pascals Triangle Paths and Binary Strings Research Paper
Option #1: Pascal's Triangle: Paths and Binary StringsSuppose you want to create a path between each number on Pascal's Tr ...
UMES Pascals Triangle Paths and Binary Strings Research Paper
Option #1: Pascal's Triangle: Paths and Binary StringsSuppose you want to create a path between each number on Pascal's Triangle. For this exercise, suppose the only moves allowed are to go down one row either to the left or to the right.We will code the path by using bit strings. In particular, a 0 will be used for each move downward to the left, and a 1 for each move downward to the right. So, for example, consider the first five rows of Pascal's Triangle below, and the path shown between the top number 1 (labelled START) and the left-most 3.This path involves starting at the top 1 labelled START and first going down and to the left (code with a 0), then down to the left again (code with another 0), and finally down to the right (code with a 1). Hence, this path would be coded with binary string 001. This code is then recorded at the ending location on the triangle.For Option #1, complete the following tasks based on the coding scheme described above:Determine if there are additional paths between the START (number 1 at the top) and end point (leftmost 3). If so, describe them in words, by tracing the path on the triangle, and as binary strings. Then record all such binary strings at the ending location.Find and record at least 5 paths using binary strings between the START location and numbers in rows 4 and 5. Compare the binary strings for each number and discuss why those similarities and differences might exist. Also, explain any connections you notice between the number of possible paths ending at each location and the corresponding entry of Pascal's Triangle.Discuss what information about an endpoint and the paths leading to it can be gathered from the length of its binary strings and the number of 1s in them.Explain the addition rule of Pascal's Triangle in your own words in terms of the path coding scheme you worked with in this assignment.Note the type of symmetry that Pascal's Triangle has and explain it in terms of the paths.Additional Requirements:Paper must be written in third person.Your paper should be 3-4 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
functions, modeling, domain/range, assignment help
I just need you guys to complete my algebra two project please. I tried once and failed and need a passing grade or I will ...
functions, modeling, domain/range, assignment help
I just need you guys to complete my algebra two project please. I tried once and failed and need a passing grade or I will fail the class. Thank you very much!
Geometric Sequences and Series
Find the next two terms in the geometric sequence shown below.5, 15, 45, …75, 105135, 40555, 65675, 30375Find the next t ...
Geometric Sequences and Series
Find the next two terms in the geometric sequence shown below.5, 15, 45, …75, 105135, 40555, 65675, 30375Find the next two terms in the geometric sequence shown below.16, 8, 4, …2, 11, 02, ½0,-4Find three geometric means between 9 and 144.42.75, 76.5, 110.252304, 36864, 58982418, 36, 7227, 81, 243Write an equation for the nth term in the sequence.200, 50, 12.5…A. an = 200 • 4n - 1B. an = 200 • (-4)n - 1C. an = 200 • (-1/4)n - 1D. an = 200 • (1/4)n - 1Find the 15th term in the geometric sequence shown below.1, 3, 9,...478296914348907431594323Find the sum for the geometric series shown below.198.437596.875196.875396.875Find the sum for the geometric series shown below.126124252254If S6 = 189 and r = 2, what is a1?9633/2If S8 = 1530 and r = 2, what is a1?36912A portion of John’s parental family tree is shown below. Find a rule for the number of people in the nth generation.A. An = 2(2)n - 1B. An = 1(2)n - 1C. An = 2(2)nD. An = 1(2)n
3 pages
Attachment 1 11
Consider a situation in which the coefficient of friction is ? and the roadway grade is ?. Let ?0 be in km/h. Which of the ...
Attachment 1 11
Consider a situation in which the coefficient of friction is ? and the roadway grade is ?. Let ?0 be in km/h. Which of the following ...
variables
What is a probability event and what are different types of variables and their associated rules when computing probabilit ...
variables
What is a probability event and what are different types of variables and their associated rules when computing probabilities?please answer the question up top. no resources needed only use the answer from the files down-below for more info thank you
Houston Community College Confidence Interval and Hypothesis Testing Discussion
Discussion Board # 5 Last DB DISCUSSION BOARD DUE: NOVEMBER 9, 2020 AT 2PM CENTRAL TIME.Overview: In module 2 we focused o ...
Houston Community College Confidence Interval and Hypothesis Testing Discussion
Discussion Board # 5 Last DB DISCUSSION BOARD DUE: NOVEMBER 9, 2020 AT 2PM CENTRAL TIME.Overview: In module 2 we focused on using statistics to make assumptions about the entire population. What allowed us to make that connection was the:Central Limit Theorem - if you can't explain it in under 10 words you probably don't get it! So in this DB be sure you have it down before you move on. Submit: You may choose however you would like to submit your analysis- only request is that the work be converted to PDF, and you show your work. Failure to do so will result in loss of points. You are more than welcome to work all problems out by hand & feel free to add a catchy title for fun, also as a signal (data) to me that you know what you are doing. Data you will need: Class Survey Data (Can be found in Files link to left or Modules tab)Create a table - with column headers population, sample, & concepts. Then for each row put one important fact that you 'predict' will be on the exam & underneath each column heading (sample & population) give examples/symbols/etc. In the concepts column briefly explain 'why' you think it will be on the exam. Be sure to only include relevant examples, (Links to an external site.) therefore, there is no max or min on how many you need to include. As long as they are relevant (Links to an external site.)you are fine! This will "feel' strange because I'm ask you to use your critical thinking skills, which isn't hard but it is different. Do your best, I trust you but of course I'll be sure to give you copious amounts of feedback until you get it right. You can compare & contrast, analyze, etc. Only thing to avoid is copy & pasting definitions. Using class data create a 95% Confidence Interval on the average number of hours a student is taking at HCCDraw a normal distribution curve & mark the mean, upper limit & lower limitIs it possible to find someone on campus who is not w/in the upper & lower limits, if so, why would this happen & how often would it occur?Looking at your answer above in #4 is that a fact?Review the class data file - given an example when this would be the population, given an example when this would be a sample.Perform a statistical test -Do Men & Women take the same # of Hours? Include all 6 steps outlined by bookState Hypothesis StatementsSignificance Level - lets use 5% Determine test statistic - (depends on independence, are they normally distributed, etc-go back to your earlier analysis)Decision Rule -lets use 2 tail (this is much easier to learn at first)State your decision (did you use critical value & t statistic or P?Interpret the results - Is gender significant, why or why not (include diagram)Feedback post: 100% of your grade will be based on this. You must peer review 2 posts and provide constructive feedback on their work to receive full credit.)Word of caution: Most students will not link the concept of sampling to earlier chapters on bivariate data. Students will also confuse samples, with populations - best way to keep these straight is to understand that the terms are not permanent. It depends on context. Was survey we used a good sample? Are they independent, normally distributed, is standard deviation known (this will help you determine 'which' tests you can use).
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Most Popular Content
UMES Pascals Triangle Paths and Binary Strings Research Paper
Option #1: Pascal's Triangle: Paths and Binary StringsSuppose you want to create a path between each number on Pascal's Tr ...
UMES Pascals Triangle Paths and Binary Strings Research Paper
Option #1: Pascal's Triangle: Paths and Binary StringsSuppose you want to create a path between each number on Pascal's Triangle. For this exercise, suppose the only moves allowed are to go down one row either to the left or to the right.We will code the path by using bit strings. In particular, a 0 will be used for each move downward to the left, and a 1 for each move downward to the right. So, for example, consider the first five rows of Pascal's Triangle below, and the path shown between the top number 1 (labelled START) and the left-most 3.This path involves starting at the top 1 labelled START and first going down and to the left (code with a 0), then down to the left again (code with another 0), and finally down to the right (code with a 1). Hence, this path would be coded with binary string 001. This code is then recorded at the ending location on the triangle.For Option #1, complete the following tasks based on the coding scheme described above:Determine if there are additional paths between the START (number 1 at the top) and end point (leftmost 3). If so, describe them in words, by tracing the path on the triangle, and as binary strings. Then record all such binary strings at the ending location.Find and record at least 5 paths using binary strings between the START location and numbers in rows 4 and 5. Compare the binary strings for each number and discuss why those similarities and differences might exist. Also, explain any connections you notice between the number of possible paths ending at each location and the corresponding entry of Pascal's Triangle.Discuss what information about an endpoint and the paths leading to it can be gathered from the length of its binary strings and the number of 1s in them.Explain the addition rule of Pascal's Triangle in your own words in terms of the path coding scheme you worked with in this assignment.Note the type of symmetry that Pascal's Triangle has and explain it in terms of the paths.Additional Requirements:Paper must be written in third person.Your paper should be 3-4 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
functions, modeling, domain/range, assignment help
I just need you guys to complete my algebra two project please. I tried once and failed and need a passing grade or I will ...
functions, modeling, domain/range, assignment help
I just need you guys to complete my algebra two project please. I tried once and failed and need a passing grade or I will fail the class. Thank you very much!
Geometric Sequences and Series
Find the next two terms in the geometric sequence shown below.5, 15, 45, …75, 105135, 40555, 65675, 30375Find the next t ...
Geometric Sequences and Series
Find the next two terms in the geometric sequence shown below.5, 15, 45, …75, 105135, 40555, 65675, 30375Find the next two terms in the geometric sequence shown below.16, 8, 4, …2, 11, 02, ½0,-4Find three geometric means between 9 and 144.42.75, 76.5, 110.252304, 36864, 58982418, 36, 7227, 81, 243Write an equation for the nth term in the sequence.200, 50, 12.5…A. an = 200 • 4n - 1B. an = 200 • (-4)n - 1C. an = 200 • (-1/4)n - 1D. an = 200 • (1/4)n - 1Find the 15th term in the geometric sequence shown below.1, 3, 9,...478296914348907431594323Find the sum for the geometric series shown below.198.437596.875196.875396.875Find the sum for the geometric series shown below.126124252254If S6 = 189 and r = 2, what is a1?9633/2If S8 = 1530 and r = 2, what is a1?36912A portion of John’s parental family tree is shown below. Find a rule for the number of people in the nth generation.A. An = 2(2)n - 1B. An = 1(2)n - 1C. An = 2(2)nD. An = 1(2)n
3 pages
Attachment 1 11
Consider a situation in which the coefficient of friction is ? and the roadway grade is ?. Let ?0 be in km/h. Which of the ...
Attachment 1 11
Consider a situation in which the coefficient of friction is ? and the roadway grade is ?. Let ?0 be in km/h. Which of the following ...
variables
What is a probability event and what are different types of variables and their associated rules when computing probabilit ...
variables
What is a probability event and what are different types of variables and their associated rules when computing probabilities?please answer the question up top. no resources needed only use the answer from the files down-below for more info thank you
Houston Community College Confidence Interval and Hypothesis Testing Discussion
Discussion Board # 5 Last DB DISCUSSION BOARD DUE: NOVEMBER 9, 2020 AT 2PM CENTRAL TIME.Overview: In module 2 we focused o ...
Houston Community College Confidence Interval and Hypothesis Testing Discussion
Discussion Board # 5 Last DB DISCUSSION BOARD DUE: NOVEMBER 9, 2020 AT 2PM CENTRAL TIME.Overview: In module 2 we focused on using statistics to make assumptions about the entire population. What allowed us to make that connection was the:Central Limit Theorem - if you can't explain it in under 10 words you probably don't get it! So in this DB be sure you have it down before you move on. Submit: You may choose however you would like to submit your analysis- only request is that the work be converted to PDF, and you show your work. Failure to do so will result in loss of points. You are more than welcome to work all problems out by hand & feel free to add a catchy title for fun, also as a signal (data) to me that you know what you are doing. Data you will need: Class Survey Data (Can be found in Files link to left or Modules tab)Create a table - with column headers population, sample, & concepts. Then for each row put one important fact that you 'predict' will be on the exam & underneath each column heading (sample & population) give examples/symbols/etc. In the concepts column briefly explain 'why' you think it will be on the exam. Be sure to only include relevant examples, (Links to an external site.) therefore, there is no max or min on how many you need to include. As long as they are relevant (Links to an external site.)you are fine! This will "feel' strange because I'm ask you to use your critical thinking skills, which isn't hard but it is different. Do your best, I trust you but of course I'll be sure to give you copious amounts of feedback until you get it right. You can compare & contrast, analyze, etc. Only thing to avoid is copy & pasting definitions. Using class data create a 95% Confidence Interval on the average number of hours a student is taking at HCCDraw a normal distribution curve & mark the mean, upper limit & lower limitIs it possible to find someone on campus who is not w/in the upper & lower limits, if so, why would this happen & how often would it occur?Looking at your answer above in #4 is that a fact?Review the class data file - given an example when this would be the population, given an example when this would be a sample.Perform a statistical test -Do Men & Women take the same # of Hours? Include all 6 steps outlined by bookState Hypothesis StatementsSignificance Level - lets use 5% Determine test statistic - (depends on independence, are they normally distributed, etc-go back to your earlier analysis)Decision Rule -lets use 2 tail (this is much easier to learn at first)State your decision (did you use critical value & t statistic or P?Interpret the results - Is gender significant, why or why not (include diagram)Feedback post: 100% of your grade will be based on this. You must peer review 2 posts and provide constructive feedback on their work to receive full credit.)Word of caution: Most students will not link the concept of sampling to earlier chapters on bivariate data. Students will also confuse samples, with populations - best way to keep these straight is to understand that the terms are not permanent. It depends on context. Was survey we used a good sample? Are they independent, normally distributed, is standard deviation known (this will help you determine 'which' tests you can use).
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