The equation of the piecewise function is
On the graph, we have:
Hence, the piecewise function is:
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
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Answer:
The probability that they purchased a green or a gray sweater is
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
You know:
So:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)=
P(A∪B)=
<u><em>The probability that they purchased a green or a gray sweater is </em></u><u><em></em></u>
Step-by-step explanation: You can't continue on with the problem until the denominators are the same. So you need to find the LCD (Least Common Denominator). For example...
The LCD is six
Hope this helps, have a BLESSED and wonderful day! :-)
-Cutiepatutie <3