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>
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The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.
Finding slope:
slope=change in y/change in x (y2-y1/x2-x1)
slope=-3-(-8)/-4-(-1)=5/-3=-5/3
Finding y-intercept:
y=mx+b
-8=-5/3(-1)+b
b=-9 2/3
y intercept: (0,-9 2/3)
Equation: y=-5/3x-9 2/3
Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.
0=-5/3x-9 2/3
x=29/3x(-3/5)
x=-29/5
x intercept: (-29/5,0)
answers: (0,-9 2/3) and (-29/5,0)
Answer:
Step-by-step explanation:
We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2
We use the section formula:
We substitute the coordinates and the ratio into the section formula to get:
We simplify to get:
This gives us:
Answer:
Dude this is algebra.
Step-by-step explanation:
