FOM11 5.5 Z-Scores
Last class, we learned how you can use the ideal normal distribution to determine the % of
individuals that fall within a certain range of values. We were only able to do this, though, if
the values were exactly 1, 2 or 3 standard devia

FOM11
5.4 The Normal Distribution
Distributions
Sometimes distribution refers to the shape of the graph of the data.
There are different kinds of distributions:
uniform
bi-modal
skewed
normal
The Normal distribution
The normal distribution is really an id

FOM11 6.4-6.5 Optimization Problems
The point of learning to use. systems of inequalities is to determine the optimal solution
given a number of constraints. In order to translate a story or situation into a system, you
must:
1. Assign variables use words

FOM11
6.1 Graphing Linear Inequalities in Two Variables
An inequality is a statement that involves a greater than or less than symbol.
Ex.
A linear inequality in two variables is an inequality statement that describes the relationship
between one variable

FOM11 7.1 Exploring Quadratic Relations
Some examples of quadratic functions:
2
y = x2 ;
y = (t 5) ;
y = 2 x 2 50 ;
y = t 2 + 3t 1 ;
2
y = 2 ( x 5) + 7
Some example of non-quadratic functions:
y = x3 + x 2 + 2 x + 8 ;
y=
( t 5) ;
y = 2 x 50 ;
3
y = t 2 +

FOM11
6.5 Optimization Problems: The Solution Region
After you have modeled the problem with a system of inequalities and an objective function,
you can graph the solution region; however, drawing the graph alone doesnt tell you which of
all the points is

FOM11
6.4 Optimization Problems: Creating the Model
The point of learning to use systems of inequalities is to determine the optimal solution
given a number of constraints.
In order to translate a story or situation into a system, you must:
Decide what re

FOM11
6.3 Solving Systems of Linear Inequalities
Checking whether a particular solution is valid
cfw_x, y | x + 2y 6, x , y
cfw_x, y | 3 x y > 6, x , y
Using the inequality statements:
Using the graph:
Is (3, 4) a solution to this system?

FOM11
6.2 Graphing Systems of Linear Inequalities
A system of inequalities just means there are two or more inequalities.
The solution to a system is the set of all the points (x, y) that make all the inequalities true.
(In other words, where all the shad

FOM11 5.6 Confidence Intervals
No survey can ever give perfect information about the entire population. The best you can do
is to select a representative sample of the population in the hopes that the smaller group has
a similar composition and variation