Answer:

Step-by-step explanation:

Combine all like terms.


Multiply both sides by -1.

<h3>
Answer: Choice C</h3>
P = 11/40 + 1/4 - 1/20
=========================================================
Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
- P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
- P(B) = 20/80 = 1/4 = probability of picking someone taking French
- P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes
So,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
----------------
Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
Answer:
<em>Domain={2,5,8}</em>
<em>Range={1,3,6}</em>
<em>Function: YES</em>
Step-by-step explanation:
<u>The Domain of a Function
</u>
Is the set of values the input variable x takes.
<u>Range of a Function
</u>
It's the set of values the output function takes when x moves into the function's domain.
A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.
Following the definitions above, the domain of the relationship is the set of input values:
Domain={2,5,8}
The range is the set of output values:
Range={1,3,6}
Since each element in the input set is related only to one element in the range, the given relationship is a function.
Answers:
Domain={2,5,8}
Range={1,3,6}
Function: YES
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