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Mathematics for Liberal Arts
MGF 1106
MGF 1106 Mathematics for liberal Arts 1
MGF 1106 Exam
Course Title and Number: MGF 1106 Mathematics for liberal Arts 1 Exam Exam Title: MGF 1106 1 Exam Exam Date: Exam 2024- 2025 Instructor: [Insert Instructor’s Name] Student Name: [Insert Student’s Name] Student ID: [Insert Student ID]
Examination
180 minutes
Instructions:
- Read each question carefully.
- Answer all questions.
- Use the provided answer sheet to mark your responses.
- Ensure all answers are final before submitting the exam.
- Please answer each question below and click Submit when you have completed the Exam.
- This test has a time limit, The test will save and submit automatically when the time expires
- This is Exam which will assess your knowledge on the course Learning Resources.
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MGF 1106 Mathematics for Liberal Arts
MGF 1106 Exam 1 Chapters 1-2 Review
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Read All Instructions Carefully and Answer All the Questions Correctly Good Luck: IMPORTANT FORMULA #1 - =Answer>> n(A∪B) = n(A) + n(B) - n(A∩B) How many components in a simple statement? - =Answer>> 1 How many components in a compound statement? - =Answer>> More than 1 ∧ - =Answer>> conjunction: and, but ∨ - =Answer>> disjunction: or ~ - =Answer>> not, it is not the case that ~(p∧q) - =Answer>> ~p ∨ ~q ~(p∨q) - =Answer>> ~p ∧ ~q Negation of "all" - =Answer>> Some are not Negation of "never/none" - =Answer>> Some are Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Set builder notation - =Answer>> {x|x is a multiple of 3} A⊆B - =Answer>> A is a subset of B Equation to find number of subsets - =Answer>> 2^x = # (x is number of elements, # is the number of subsets) Equation to find number or proper subsets - =Answer>> 2^x - 1 A∩B - =Answer>> What they share A∪B - =Answer>> Everything {x|x ∈ A and x∈B} - =Answer>> A∩B {x|x ∈ A or x∈B} - =Answer>> A∪B {x|x ∈ A and x∉B} - =Answer>> A' U∪∅=? - =Answer>> U U∩∅=? - =Answer>> ∅ n(A) - =Answer>> Number of elements in A (cardinal number of A) election - =Answer>> occurs any time a group makes a collective decision based on its members preferences Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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true or false: there's no perfectly fair way to carry out an election - =Answer>> true candidates - =Answer>> the set of alternatives to be voted on (usually people) voters - =Answer>> the set of (almost always) people who will determine the outcome ballot - =Answer>> how the voters indicate their preferred candidates single choice ballot - =Answer>> only the voter's top choice is indicated preference ballot - =Answer>> all candidates are ranked from best to worst on the ballot truncated preference ballot - =Answer>> some but not all of the candidates are ranked on the ballot outcome - =Answer>> what is the election trying to determine? winner-only outcome - =Answer>> only the most desirable candidate is to be determined partial ranking outcome - =Answer>> the top few candidates are to be determined (ex: gold, silver and bronze) (full) ranking outcome - =Answer>> a full ranking of the candidates to be determined Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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true or false: if there are only two candidates, the borda count and the plurality method are identical - =Answer>> true true or false: the borda count is unfair according to the majority criterion - =Answer>> true majority criterion - =Answer>> a voting system is fair if a candidate who gets a majority vote (over 50%) of first place votes is guaranteed to win teaming - =Answer>> when a party sends as many candidates as possible true or false: teaming positively impacts the plurality method - =Answer>> false, it positively impacts the borda count method irrelevant alternatives - =Answer>> (some) candidates who don't win the (winner-only) elections true or false: irrelevant alternatives aren't able to change an election - =Answer>> true, except borda count method burying - =Answer>> artificially reducing a candidate's rank true or false: the borda count can violate the condorcet criterion - =Answer>> true elimination method - =Answer>> a voting method that proceeds by eliminating summer number of "irrelevant" candidates first Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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the plurality with elimination method - =Answer>> the candidate with the fewest first place votes is eliminated method of pairwise comparisons - =Answer>> awards points for winning a head-to-head matchup fairness criteria - =Answer>> there is no dictator true or false: the plurality and plurality-with-elimination method satisfy the majority criterion - =Answer>> true true or false: the method of pair wise comparisons satisfies the majority criterion - =Answer>> true true or false: the majority criterion is stronger than the condorcet criterion - =Answer>> false the method of pairwise comparisons satisfies the condorcet criterion by definition - =Answer>> plurality, plurality-with-elimination and borda count all violate the condorcet criterion - =Answer>> monotonicity criterion - =Answer>> If a candidate is the first place candidate and some ballots are changed to improve that candidate's rank, then that candidate should still be first every method satisfies the montonocity method except the plurality-with-elimination - =Answer>> Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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