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A comprehensive set of review questions and answers for the mgf 1106 mathematics for liberal arts exam. It covers key concepts and formulas related to permutations, combinations, probability, logic, and set theory. Designed to help students prepare for the exam by providing a structured approach to reviewing the course material.
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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]
180 minutes
Read All Instructions Carefully and Answer All the Questions Correctly Good Luck: When a question says "use the counting principle to..." how do you answer the question? - =Answer>> x^n Permutation definition - =Answer>> An ordered arrangement of n distinguishable objects taken r at a time with no repititions Permutation denoted by? - =Answer>> nPr 0! - =Answer>> 1 The number of permutations of n objects taken n at a time - =Answer>> P(n,n) The number of permutations of n objects taken r at a time - =Answer>> P(n,r) How to solve P(n,r) - =Answer>> n!/(n-r)! Find P(n,r) on calculator - =Answer>> n-> 2nd -> 9 -> r -> = Simplify: P(6,6) - =Answer>> 6! Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
a^x(a^y)= - =Answer>> a^x+y (a^x)^y - =Answer>> a^x(y) n^x/n^y - =Answer>> n^x-y a^-x - =Answer>> 1/a^x dividing exponents - =Answer>> subtract empirical probability - =Answer>> times occurred/times performed theoretical probability - =Answer>> favorable outcomes/total #of outcomes multistage - =Answer>> at least on+none= odds in favor - =Answer>> in favor/not ex.5: odds against - =Answer>> not/in favor ex. 3: expected value - =Answer>> P=probability A=amount won or lost E=(P1A1+P2A2...+PnAn) fair price - =Answer>> expected value+cost to play counting principle - =Answer>> if one thing can occur in x ways and second in y ways it can be multiplied Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
and problems - =Answer>> multiply or problems - =Answer>> add conditional prob - =Answer>> P(B|A)=n(AandB)/n(A) counting principle with permutations - =Answer>> 10x10x10x10 26x permutation formula - =Answer>> nPr=n!/(n-r)! without replacement, order matters combinations - =Answer>> arrangement of objects where order is irrelevant combination formula - =Answer>> nCr=n!/r!(n-r)! Real Numbers - =Answer>> rationals and irrationals rational numbers - =Answer>> fractions irrationals - =Answer>> square roots and pi complex numbers - =Answer>> 3i closure - =Answer>> If the operation can be performed on any two elements of the set and the result is always an element of the set are integers closed under addition - =Answer>> yes Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
Disjunction of the two: - =Answer>> Today is Friday or Monday Today is Friday or today is Monday Write in if-then form: Joe had an accident or he would be able to get car insurance - =Answer>> If Joe had not had an accident then he would be able to get car insurance What is p->q equal to? - =Answer>> ~pvq and ~q->~p Name three things that are equal to each other - =Answer>> ~(p->q) = ~(~pvq) = p^~q Converse of p->q - =Answer>> q->p Inverse of p->q - =Answer>> ~p->~q Contrapositive of p->q - =Answer>> ~q->~p Tautology - =Answer>> A statement that is always true Contradiction - =Answer>> A statement that is always false Tautology or contradiction? pv~p - =Answer>> Tautology Tautology or contradiction? p^~p - =Answer>> Contradiction Both cards picked are red. How many ways? - =Answer>> 26*25= Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
One card is black and another is red. How many ways? - =Answer>> 52 (doesn't matter which card you pick) * 26 (card of the other color) = 1352 Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔