ExperimentSome process that occurs with well defined outcomes.OutcomeA result from a single trial of the experiment.Eventa collection of one or more outcomes.Sample SpaceA collection of all of the outcomes of an experiment.P(E)the probability of E happeningn(E)the number of elements in EProbability answers should be given as...fractions or decimalsProbability questions that ask for percent or chance should be given as...percentagesTheoretical Probability<span>What we expect the Probability of an event to be. ie. each number on a cube should have a 1/6 probability of occurring</span>Empirical Probability<span>The Probability of an event after we run an experiment. ie. each number on a cube should have a 1/6 probability of occurring, but we could roll a cube many times and may not get a certain number 1/6 of the time.</span>ORone or the other or both; it's ok to get just oneANDHave to get BOTHTree Diagram<span>can be drawn vertically(down) or horizontally(side ways) *You can count the ends of the branches to get the number in the sample space(outcomes)</span>How to find the number of items when you know the probability it will occur..<span>(# of items)(Probability it will occur) ie. If the probability a person is left handed is 1/10, how many people would you expect to be left handed in a room with 360 people? ANSWER: (360)(1/10) = 36</span>Roster Form<span>List the elements in brackets ie. set A is a set of all even numbers from 1-10; A = {2,4,6,8,10}</span>Subseta set whose elements are contained in another setComplement<span>All the elements in a set that are not in the subset set S; S = {1,2,3,4,5,6,7,8,9,10} subset A; A = {2,4,6,8,10} complement of A; A' = {1,3,5,7,9} Can be labeled with an ' OR another letter.</span>Complements Probabilities<span>If A and B are complements then P(A) + P(B) = 1 P(A) + P(A') = 1 P(A) + P(NOT A) = 1</span><span> </span>
It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function: x l 1 2 3 4 5 6 y l 3 6 9 12 15 18
As x increases by 1, y increases by a multiple of 3
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
