On a separate piece of graph paper, graph y = -|x| + 1; then click on the graph until the correct one appears.
2 answers:
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Answer:
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Step-by-step explanation:
From the given study,
Let A be the event that the accountant has an MBA degree
Let B be the event that the accountant has at least 5 years of professional experience.
P(A) = 0.35
= 1 - P(A)
= 1 - 0.35
= 0.65
= 0.45
P(B) = 1 -
P(B) = 1 - 0.45
P(B) = 0.55
P(A ∩ B ) = 0.75
P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ] because =
SO;
P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]
P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]
P(A ∩ B ) - 0.75 P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]
0.25 P(A ∩ B) = 0.075
P(A ∩ B) =
P(A ∩ B) = 0.3
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)
= P(A) + P(B) - 2P( A ∩ B)
= (0.35 + 0.55) - 2(0.3)
= 0.9 - 0.6
= 0.3
∴
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Answer:
DOMAIN:
RANGE:
Step-by-step explanation:
The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.
DOMAIN:
From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.
However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.
So, our domain is all values greater than or less than 1, and all values greater than 2.
In interval notation, this is:
We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.
RANGE:
Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.
Our range is all real numbers.
In interval notation, this is: