STATISTICS REVIEW
1 Main Vocabulary
Coefficient of Correlation (r): This defines the strength and the direction of the regression
line.
= 1
( )
( )
Coefficient of Determination ( ): This is the variation in y explained by .
( )
2 = 1
( )
Confidence Lev
STATISTICS REVIEW
1
Main Vocabulary
Coefficient of Correlation (r): This defines the strength and the direction
of the regression line.
r= 1
( y )
( y y )
Coefficient of Determination ( r
2
): This is the variation in y explained by
.
2
r =1
( y )
( y
10.2 Area and Perimeter
Def (Area of a Region in the Plane)
Let R be a region and assume that a unit (ft2, in2, cm2, etc.) of area is chosen. The number of
units required to cover a region in the plane without overlap is the area of the region R.
Def (Con
11.1 Rigid Motions and Similarity Transformations
Def (Transformation of the Plane)
A one-to-one correspondence of the set of points in the plane onto itself is a transformation of
the plane.
If point P corresponds to point P ' , then P ' is called the im
8.3 Connection Between Algebra and Geometry
Problem-Solving Strategy: Use Cartesian Coordinates To Solve Geometry Problems
Example
(a) Find two points on the line -2x + y = 6.
(b) Use the points determined in part (a) to compute the slope of the line.
(c)
10.1 The Measurement Process
Choose the property, or attribute (such as length, area, volume, capacity, temperature,
time, or weight), of an object or event that is to be measured.
Select an appropriate unit of measurement.
Use a measurement device to cov
9.2 Curves and Polygons in the Plane
Def (Curve)
A curve in the plane can be described informally as a set of points that a pencil can trace without
lifting until all points in the set are covered.
Types of Curves
Simple
Closed
Simple Closed
The pencil ne
12.1 Congruent Triangles
Def (Congruent Triangles)
Two triangles are congruent if and only if there is a correspondence of vertices of the triangles
such that the corresponding sides and corresponding angles are congruent.
Properties of Congruent Triangle
8.1 Variables, Algebraic Expressions, and Functions
Def (Algebraic Expression)
A mathematical expression that includes variables, numbers, or operations is called an algebraic
expression.
Constants
Fixed values in elementary
arithmetic.
2
-3
5
Variables
11.2 Patters and Symmetries
Def (Symmetry of a Plane Figure)
A symmetry of a plane figure is any rigid motion of the plane that moves all the points of the
figure back to a point of the figure.
Reflection Symmetry
reflection across some line is a
symmetry
9.3 Figures in Space
Planes and Lines in Space
There are infinitely many planes in space.
Planes
the plane itself and
two regions called half-spaces
two planes are parallel or intersect in a
line
Parallel lines
two distinct
nonintersecting
belong to the s
13.1 Organizing and Representing Data
Def (Data Set)
A collection of data points is called a data set.
Data Representation
Dot Plot
Stem-and-Leaf Plot
Histogram
place a dot above a number line
let the tens digits of the scores be the stems
and let the uni
12.3 Similar Triangles
Def (Similar Triangles and the Scale Factor)
Triangle ABC is similar to triangle DEF, written ABC ~ DEF, if and only if corresponding
angles are congruent and the ratios of lengths of corresponding sides are equal.
That is, ABC ~ DE
14.2 Applications of Counting Principles to Probability
Principles of Counting and Probability
Addition Principle of Counting
Multiplication Principle of Counting
Number of Permutations of a Set of Objects
Multiplication Property of Independent
Events
Con
9.1 Figures in the Plane
Points and Lines
Points
We can think of points location
markers.
We can think of a plane as a flat twodimensional object that extends
forever in all directions.
Lines
Lines extend infinitely far in opposite
directions
Three or mor
10.4 Volume
Rectangular Box
V l w h
Bh
= (area of base)(height)
Right Prism or Right Cylinder
V Bh
= (area of base)(height)
General Prism or Cylinder
V Bh
= (area of base)(height)
Pyramid or Cone
V 13 B h
= 13 (area of base)(height)
Sphere
V 43 r 3
58
Ex
10.3 The Pythagorean Theorem
Theorem (Pythagorean Theorem)
If a right triangle has legs of length a and b and its hypotenuse has length c, then
a2 b2 c2
Theorem (Converse of the Pythagorean Theorem)
Let a triangle have sides of length a, b, and c. If a 2
10.5 Surface Area
Right Prism or Right Cylinder
SA = 2B + p h
=2(area of base) + (perimeter of base)(height)
Right Regular Pyramid
SA B 12 p s
=(area of base)+ 12 (perimeter of base)(slant height)
=(area of base)+ 12 (perimeter of base)(altitude length)
R
7.1 Fundamental Identities
Def (Identity)
An identity is an equation that is satisfied by EVERY value in the domain of its variable
Fundamental Identities
Reciprocal Identities
cot( )
1
tan( )
sec( )
1
cos( )
cot( )
cos( )
sin( )
csc( )
1
sin( )
Quoti
8.4 Applications of Vectors
The equilibrant of a vector u is the vector u.
Recall:
In a parallelogram, consecutive angles sum to 180o.
Example
Two rescue vessels are pulling a broken-down motorboat toward a boathouse with forces of 840 lb and
960 lb. The
8.3 Vectors, Operations, and the Dot Product
Def (Scalars)
Quantities that can be represented by real numbers are called scalars.
Def (Vector Quantities)
Quantities that involve both magnitude and direction are called vector quantities.
Def (Vector)
A vec
8.8 Parametric Equations, Graphs, And Applications
Def (Parametric Equations of a Plane Curve)
A plane curve is a set of points (x , y) such that x = f(t), y = g(t), and f and g are both defined on an
interval I. The equation x = f(t) and y = g(t) are par
8.7 Polar Equations and Graphs
Rectangular and Polar Coordinates
If a point has rectangular coordinates (x , y) and polar coordinates (r , ), then these coordinates are
related as follows.
x = r cos()
r 2 = x2 + y2
y = r sin()
tan() =
y
, where x 0
x
For
Name_
Math 2412._
Bell
Spring 2017
Trigonometric Graphs
Graph the following functions over two periods. This assignment is due Tuesday, March 7, 2017. It will
not be accepted late for any reason. Clearly mark all x-intercepts, y-intercepts, and asymptotes
Test 1 Review Part 1
1. Suppose you are 50 feet from the base of a tree that is standing straight up. You measure the angle of
elevation to the top of the tree as 52 . How tall is the tree to the nearest foot?
2. A road makes an angle of 7o with the flat
General Chemistry I
Answers for Practice Exercise 02.8a
PowerPoint Presentation
by
Alberto A. Alvarez, Jr.
MSIP Grant No. P120A80073-98
03/02/17
U.S. Department of
Education
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03/02/17
copper(I) carbonate
hypochlorous ac
SOUTH TEXAS COLLEGE
Division of Math and Science
Department of Mathematics
Fall 2016
Instructors Information:
Instructor Name:
Office Location:
Email:
Telephone #:
Office Hours:
Jonathan Wayne Bell
E2.614 (Starr) M213 (Pecan)
[email protected]
General Chemistry I
Answers for Practice Exercise 02.9a
PowerPoint Presentation
by
Alberto A. Alvarez, Jr.
MSIP Grant No. P120A80073-98
03/02/17
U.S. Department of
Education
1
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sulfuric acid
calcium chloride
ferric bromid
Division of Math and Science
Department of Mathematics
MATH 1414-V08: College Algebra
Syllabus
INSTRUCTOR INFORMATION
Instructor: Dr. Andrs Padilla Oviedo
Office: Pecan Campus A 143
Office Hours: Monday and Wednesday from 5:00 PM-6:00 PM via Blackboard IM