Lecture Four More on Conditionals
Variations of a Conditional
The converse of the conditional if p, then q (pq) is the compound statement if q,
then p (qp)
The inverse of the conditional if p, then q (pq) is the compound statement if not p,
then not q. ~p
4.2 Measure of Central Tendency
Given a sample of n data points, x1 , x2 , , xn , the mean, denoted by x, is
P
data points
x = nx or x = the sum of the data points .
the number of
See example 1, page 246
Calculating the Mean: Grouped Data
P
f
x = (n x) ,
4.1 Population, Sample, and Data
The eld of statistics can be dened as the science of collecting,
organizing, and summarizing data in such a way that valid conclusions and meaningful predictions can be drawn from them.
The descriptive statistics is about
3.5 Expected Value
Example
Spin the arrow 100 times. 28 times in the $10 area. 72 times in the -$5
area. Find the average of the money.
1
y
0.5
$10 area
0.5
1
-$5 area
0.5
1
x
-$5 area
-$5 area
0.5
1
Figure 1: A Simple Game
Lets put the data in the follow
3.3 Basic Rules of Probability
Example
A pair of dice is rolled. Let
E denote the event that the sum is 7.
F denote the event that the sum is greater than or equal to 9.
G denote the event that two numbers are equal.
H denote the event that sum is neither
3.1 History of Probability
Probability theory is the eld of mathematics that measures the likelihood
of an event.
Probability theory was originally created to aid gamblers, and games of chance
are the most easily and universally understood topic to which
Chapter Two, Lecture Two, Sets and Operations
The fundamental Principle of Counting
The total number of possible outcomes of a series of decisions (making selections from various categories) is found by multiplying the number of choices
for each decision
Chapter Two, Lecture One, Sets and Operations
A set is a collection of objects or things. The objects or things in the set are
called elements (or members) of the set.
The elements must be well dened. See example 1 page 63
Which of the following sets are
Lecture 5, Analyzing Arguments
An argument consists of two components: the initial statements, or hypotheses, and the
final statement, or conclusion.
An argument is valid if the conclusion of the argument is guaranteed under its given set
of hypotheses.
C
4.4 The Normal Distribution
Discrete versus Continuous Variables
A variable is discrete if there gaps between each possible variable value.
Consequently, any variable that involves counting is discrete. For example, the
number of kids in a family is a dis
1
Finance
1.1
Simple Interest
Simple Interest Formula
The simple interest I on a principal P at an annual rate of interest r for t years is
I = P rt.
Simple Interest Future Value Formula
The future value F V of a principal P at an annual rate of interest
Lecture Three: Truth Tables
The truth value of a statement is the classification of the statement as true or false and is
denoted by T or F.
A truth table is a listing of all possible combinations of the individual statements as true
or false, along with
Lecture 2, Symbolic Logic
Statement: A statement is a sentence that is either true or false
Example 1: Which of the following are statements? Why or why not?
a.
b.
c.
d.
e.
Apple manufactures computers.
Apple manufactures the worlds best computers.
Did yo
Logic is related to the function of left brain.
Lecture 1: Deductive versus inductive reasoning
Reasoning is process of the drawing of inferences or conclusions from known or
assumed facts.
1. Deductive reasoning: from a general statement to a specific in
Great Basin College
MATH 120, 3 credits, Fundamentals of College Mathematics
Spring Semester, 2013
INSTRUCTOR INFORMATION
Instructor:
Xunming Du
Address: Great Basin College, 1500 College Pkwy, Elko, NV 89801
Class Meeting Time:
11:00AM-12:15PM Mon., Wed.
10.1 Exponential Growth
Why do we need the exponential model?
In January 2003, $1000 is deposited in an account that earns 7% interest.
Find the future value in January 2005 if
a) the interest is compounded annually.
F V = 1000(1 + 0.07)2
b) the interest
10.0 Review of Exponentials and Logarithms
Functions
An equation is said to be a function if to each value of x there corresponds one
and only one value of y. x is called the independent variable, and y is called
the dependent variable.
The equation y = 3
1
Place systems
A place system is a system in which the value of a digit is determined by its
place.
Place Values and Expanded Form, see an example in Decimal System
234 = 2 100 + 3 10 + 4 = 2 102 + 3 101 + 4 100
1.1
Convert dierent base numbers to decima
1
Finance
1.1
Simple Interest
1.2
Compound Interest
1.3
Annuities
An annuity is a sequence of equal, regular payments into an account where each
payment received compound interest.
1.4
Amortized Loans
An amortized loans is a loan for which the loan amount
Aaron Russell
Mrs. Leader
5th hour
12-9-15
Symbolism in the Novel Night
The book night by Elie Wiesel focuses on a small Jewish boy who went through the
concentration camps in The World War II era. Elie experienced many tragedies at the tiny age of
just 1