Algebra 2 Notes
February 9, 2009
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1. What are the 3 classifications of linear systems?
(Section 3.1; Jan 26)
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2. What is the answer to warm-up question #6 on
January 26?
3. What is the definition of linear programming?
(Section 3.4; Jan 29)

4. What was the objective function that would
maximize profit for mixed nuts and peanuts? (Section
3.4; Jan 30)
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5. If the graph of a plane intersects one of the
coordinate planes in a line, what is that line called?
(Section 3.5; Feb 3)
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1. Independent, Dependent, Inconsistent
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2. 5x
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3. A technique that identifies the maximum
or minimum value of some quantity
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4. P = 18x + 15y
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5. A trace
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Probability: measures how likely it is for an
event to occur.
◦ Can be expressed as percents 0%-100%
◦ Or can be expressed as real numbers 0-1

Impossible Event: Probability is 0 or 0%

Certain Event: Probability is 1 or 100%

Use data gathered from observations
(experiments) to calculate an experimental
probability

When the University of Texas won college
football’s national championship in the 2006
Rose Bowl game, its quarterback completed
30 out of 40 passes. Find the experimental
probability of the quarterback completing the
first pass in the next game.


Sample Space: The set of all possible
outcomes
Theoretical Probability:
◦ a.k.a. “Let’s say…” probability

Let’s say you roll one regular 6-sided
die one time. Find the theoretical
probability of rolling an even number.
◦ Total possible outcomes: 6 numbers on a regular
die (1-6)
◦ Number of outcomes of the event: 3 even
numbers

A jar contains 30 red marbles, 50 blue
marbles, and 20 white marbles. You pick one
marble from the jar at random. Find each
theoretical probability:
1. P
(not white)
2. P
(red or white)


Suppose that all the points on the circular
dartboard shown on page 42 are equally
likely to be hit by a dart you have thrown.
Find the probability of scoring at least 10
points.
Using the same dartboard find the following
probability:
 P (scoring 5 points)
 Pg
42 #1, 6, 7, 10, 14, 17,
24, 25, 28-30, 34, 35