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>
Answer:
2.77
Step-by-step explanation:
Answer:
The image of p is (2.5x , 2.5y)
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* In our problem
- Point p is (x , y)
- Center of dilation is (0 , 0)
- The scale factor is 2.5
* To get the image multiply each coordinates of p by 2.5
∴ The image of p is (2.5x , 2.5y)