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A practice test review for mgf 1106 mathematics for liberal arts, covering topics such as finite and infinite geometric sums, koch curves and snowflakes, sierpinski gaskets, complex numbers, reflections, glide reflections, rotations, combinations, probability, and mutually exclusive events. It includes questions with correct answers and explanations, aiming to help students prepare for their exam.
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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: Finite Geometric Sum - =Answer>> a(1-r^N+1/1-r) and contains N+1 numbers Infinite Geometric Sum - =Answer>> a(1/1-r) How to find number of copies or SF - =Answer>> Number of copies = square of scale factor Dimension Formula - =Answer>> d=log(N)/log(k) Koch Curve Replacement Rule - =Answer>> Perimeter increases by a factor of 1/ Perimeter is infinite Koch Snowflake Replacement Rule - =Answer>> Perimeter increases by x4/ Number of sides added increases by x Length of each side added decreases by x1/ Area of each triangle decreases by x1/ Total new area added=number of triangles added x area of each triangle added Area of snowflake=previous area of snowflake + total new area added (Area is finite; Perimeter is infinite) Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
Translation vector is the line from P to its midpoint on the axis of reflection What is the result of applying the same glide reflection twice - =Answer>> A single translation Computing Rotations - =Answer>> Rotocenter is on the perpendicular bisector of PP' and QQ' Find perpendicular bisector/axis of reflection of PP' by finding midpoint and drawing perpendicular line through the midpoint Rotocenter is at the intersection Combination order? - =Answer>> Not important Formula to find combination - =Answer>> C(n,r) = n!/r!(n- r)! P(E) formula - =Answer>> # of ways for E / # of things in SS Empirical probability formula - =Answer>> # of ways E occurred / # of times experiment occured When solving word problems, ask: - =Answer>> 1. Does order matter?
Property 2 - =Answer>> Range of probabilities Probability between 0 and 1 Property 3 - =Answer>> Addition rule for probabilities P(A or B) = P(A) + P(B) - P(A and B) Property 4 - =Answer>> If A and B are 2 mutually exclusive events, then P(A or B) = P(A) + P(B) P(A|B) formula - =Answer>> P(A|B) = P(A^B)/P(B) How to read "A|B" - =Answer>> A given B What is B in A|B? - =Answer>> B is the restrictive condition When does order always matter? - =Answer>> With a coin Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔