Measures of Central Tendency
2.1
Central Tendency a number that represents where data tends to center.
Measures of Central Tendency
1. Mode the value that occurs most frequently in the data.
*data may
Basic Identities
3.1(Day 1)
Reciprocal Identities
1
1
sin x =
csc x =
csc x
sin x
cos x =
1
sec x =
sec x
tan x =
1
cos x
1
cot x =
cot x
1
tan x
In addition, tan x =
sin x
and cot x =
cos x
cos x
sin
Paired Data and Scatter Diagrams
3.1
Data from Example 1(pg. 128)
x = root depth
x
26.7
14
18
10.5
26.1
21.8
7
26
y
20.3
4.8
9
9
10.7
17.4
8.2
7.9
y = watermelon weight
x
13.9
19.3
17.5
13.1
16.5
28.4
Populations, Samples, and Data
1.1 (Day 1)
Statistics the study of how to collect, organize, analyze, and interpret numerical information.
Population all measurements or observations of interest.
Exam
The Law of Sines
5.1
Oblique Triangle a triangle without a right angle.
c
a
b
Law of Sines
sin
sin
sin
=
=
a
b
c
Example 1
Find the remaining parts of the triangle.
b. = 27, = 93, a = 12.6
a. = 51,
Introduction to Random Variables and Probability Distributions
5.1
Discrete random variable when the observations of a quantitative random number can take on only a finite number
of values or a counta
The Cartesian Coordinate System
P.1
Coordinate Plane
Ordered Pair
(x, y)
Example 1
Graph.
A (-3, 4)
B (0, -2)
C (2, -1)
D (4, 1)
E (-3, -2)
F (-5, 0)
Pythagorean Theorem
a 2 + b2 = c 2
Example 2
Solve
What is Probability?
4.1
Probability the likelihood that a certain event will occur.
P(A): P of A or Probability of A
0
P
1 or 0%
P
100%
Ways to Compute Probability
1. Intuition
Ex. ESPN reports that
Graphs of Sine and Cosine Functions
2.1 (Day 1)
Find:
sin 30 =
cos 30 =
(x, y)
(x, y) = (cos , sin )
sin =
cos =
tan =
csc =
sec =
cot =
Example 1
Find the exact value of each trig function.
a. sin 60