Complement of an event A^cRefers to the event "not A"Conditional probabilityThe probability that one event happens given that another event is already known to have happened.EventAny collection of outcomes from some chance process.General addition ruleIf A and B are any two events resulting from some chance process, then the probability that event A or event B (or both) occur is P(A) + P(B) - P(A ∩ B) .General multiplication ruleThe probability that events A and B both occur can be found using the formula P(A ∩ B) = P(A) ∙ P(B | A)Independent eventsOccurrence of one event has no effect on the chance the other event will happen. In other words, if P(A | B) = P(A).IntersectionDenoted by A ∩ B, refers to the situation when both events occur at the same time.Law of Large NumbersIf we observe more and more repetitions of any chance process, the proportion of times that a specific outcome occurs approaches a single value, which we call the probability of that outcome.Mutually exclusive (disjoint)Two events have no outcomes in common and so can never occur together.ProbabilityA number between 0 and 1 that describes the proportion of times the outcome would occur in a very long series of repetitions.Probability modelA description of some chance process that consists of two parts: a sample space S and a probability for each outcome.Sample space SThe set of all possible outcomes of a chance process.SimulationThe imitation of chance behavior, based on a model that accurately reflects the situation.Tree diagramUsed to display the sample space for a chance process that involves a sequence of outcomes.Union<span>Denoted by A ∪ B, consists of all outcomes in A, or B, or both.</span>
<h2>False</h2>
<h2>the solution is ( - 5 , 1 )</h2>
Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
Answer:
3
Step-by-step explanation:
3 is the largest common factor in all of the numbers
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
<u>Step one, Make the equation</u>
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
<u>Step two, Evaluate the equation</u>
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
