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Theoretical Probability=

Number of outcomes
------------------------------------
Total number of outcomes

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Uniform Distribution- data is approx. evenly distributed across the range.
Normal or Bell-Shaped- most of the data is clustered in the middle.
Skewed Left- the tail of the graph is on the left, most of the data is on the right of the graph.
Skewed Right- the tail is on the right of the graph, most of the data is on the left.
Bimodal- has two distinct peaks.

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a simple way of representing a sequence of events.Recording all possibly outcomes in a clear, uncomplicated manner.

H ------>  /H
\T

T ------> /H
\T

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Vertex of the quadratic function in factored form

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Vertex of the quadratic function in factored form

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1)Find the 0's
2)Find the line of symmetry
3)Find the y value of the vertex(sub in the x value)

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F-irst
O-utside
I-nside
L-ast

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negative exponents means
one over the base to the power of the exponent as a positive value

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Mean- the arithmetic average, add all numbers up and divide by how many you added.
Median- the middle number, put all numbers in numeric order and find the one in the middle. An even set of numbers, will have two middle numbers, the median will be the mean of those two numbers.
Mode- the most frequent number, sort all your numbers, the one that occurs the most frequently is the mode (can have more than one mode)

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Annually-- 1
Semi annually--2
(twice a year)
Monthly--12
Weekly--52
Daily--365
Quarterly--4
Bi-weekly--26
(every 2 weeks)
Bi-Monthly--24
(twice a month)

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3 types of graphs

1. Bar Graph/Histogram

2. Circle graph - generally used to show percentage

3. Pictograph- using pictures to represent data

When data collected involves numbers it is classified as being.....

Discrete
Countable-gaps between numbers

Continuous
Not countable-no range of data
-no gaps

use table or tally to make transferring information to a graph easier.

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zero exponents means
the answer is always 1

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powers of powers
you keep the base the same and multiply the exponents

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y=Ab^x
y=current value
A=starting value
x=number of time periods (Always between 0-1)

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Dividing powers with the same base
you subtract the exponents

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y=Ab^x
y-current value
A-starting value
b-growth value
x-number of time periods

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N=n^t
N- number of outcomes
n- number of outcomes per turn
t- terms

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3(x+1)=5+x
3x+3=5+x
3x+3-x=5+x-x
2x+3=5
2x+3-3=5-3
2x/2=2/2
x=1

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1. Simplify each side
2. Eliminate the variable on the right
3.Eliminate the constant on the left side.
4.Divide each side by the co-efficient.

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+ x + = +
+ x - = -
- x + = -
- x - = +

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P=A(1+i) ^-n
P=principal
A=amount in the future
i=interest rate
-n=number of compound periods

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Use the cosine rule

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Use the sin rule

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Use pythagroan's theorem

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A=P(1+i) ^n
A=amount
P=principal
i=interest (decimal)
n=number of times we get interest

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Use trig ratios
Sin, Cos, Tan

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Do you know a side and its opposite angle?

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Does the question involve angles?

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multiplying powers with the same base
you add the exponents

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I=Prt
I=Interest
P=Principal
r= rate (decimal)
t=time (years)
A=P+I
A=amount
P=principal
I=interest

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One bracket- vertex form
Two bracket- factored form
No bracket-Standard form

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These methods are for Right-Angle Triangles

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SinA/a = SinB/b = SinC/c
Find the Angle
a/SinA = b/SinB = c/SinC
Find the Side Length

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Standard Form
y=ax^2+bx+c

Factored Form
y=(x-a) (x-b)

Vertex Form
y+(x-h)^2 + k

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The study of triangles

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-6k+7k
=K
Distributive property.
n+4-9-5n
=n-5n+4-9
=-4n-5

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a^=b^+c^xCOS(a)
angle sandwhich
COS(a)=b^+c^-a^/2bc
know 3 sides but no angles

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Exponents
Division
Multiplication
Addition
Subtraction

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SINE- OPPOSITE OVER HYPOTENUSE
COSINE - ADJACENT OVER HPOTENUSE
TANGENT- OPPOSITE OVER ADJACENT
A+B+C=180 Degrees

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a^2 + b^2 =  c^2
(Finding the hypotenuse)
Only for a right angle tri

b=c^-a^ square root
(When you know the hypotenuse)