MATH 111: HW 8 SOLUTIONS AND COMMENTS
7.1, #3. Since 53 out of 100 tosses came up heads, 100 53 = 47 of them came up tails. So, 47 out of 100, or 47%, of the tosses were tails. 7.1, #7. In case youre curious, 1572 of the class 3100 spins came up heads, or
MATH111 Winter 2014 - Assignment 5 Solutions
(1) If we pick a Canadian province at random, what is the probability that the picked province is an
Atlantic province? What is the probability that the picked province shares a land border with
Alberta? (Recal
MATH111 Winter 2014 - solutions to sample midterm questions
These questions give you an idea of what you can expect from the midterm. Apart from practising
answering these questions, you should also study your notes and the assignments.
(1) (a) If A and B
MATH111 Winter 2014 - Assignment 1 Solutions
(1) Let A = cfw_1, 3, 7, 10, B = cfw_1, 2, 3, 5, 7, 8 and C = cfw_1, 2, 7, 8, 10.
(a) What is A B C?
(b) What A (B C)?
(c) What is B (A C)?
(a) cfw_1, 7.
(b) B C = cfw_1, 2, 7, 8, so A (B C) = cfw_1, 2, 3, 7, 8
MATH111 Winter 2014 - Assignment 3 Solutions
(1) Show that each of the following numbers is a composite number.
(a) 9 11 13 15 17 6.
(b) 20142 9.
(c) 20142013 19971999 + 303606.
(a) The two terms are both divisible by 3, so their dierence is also divisibl
MATH 111: HW 5 SOLUTIONS AND COMMENTS
4.4 #3. (1) This pattern has one flip symmetry (the line of symmetry is horizontal). (2) This pattern has six flip symmetries. (3) The number of flip symmetries in this pattern depends on whether you are only flipping
MATH 111: HW 7 SOLUTIONS AND COMMENTS
5.2 #3. The one side of the Mbius band will be both blue and white. The two colors will o meet at the place where the ends of the strip of paper are taped together. 5.2 #8. What you get is: two strips, each with a ful
MATH 111: HW 9 SOLUTIONS AND COMMENTS
7.3, #1. If 52 million people die every year, the average number of people who die each day can be computed by dividing 52, 000, 000 by 365, the number of days in a year. We have 52, 000, 000/365 142465. Note that sin
MATH111 Winter 2014 - Midterm solutions
(1) Let a, b N.
(a) Explain how to dene a b using addition.
(b) Explain how to dene a b geometrically.
(c) Explain why the two denitions agree.
(d) Show that a b = b a.
(a) a b is the repeated addition
b + + b.
a ti
MATH111 Winter 2014 - Assignment 2 Solutions
(1) Alex has a collection of road bikes, city bikes and mountain bikes in his garage. The number of road
bikes is three more than twice the number of city bikes. The number of city bikes is one less than
that o