What cosine function represents a amplitude of 3, a period of #pi#, no horizontal shift, and a vertical shift of 2?
1 answer:
The parent cosine function is:
The amplitude of the given function is 3, so the equation becomes:
The period of parent cosine function is 2π. In order to have a period of π, x will be multiplied by 2. So the function becomes:
There is no horizontal shift. There is a vertical shift of 2, so 2 will be added to the function value. Thus the final expression for the function becomes:
The amplitude of the given function is 3, so the equation becomes:
The period of parent cosine function is 2π. In order to have a period of π, x will be multiplied by 2. So the function becomes:
There is no horizontal shift. There is a vertical shift of 2, so 2 will be added to the function value. Thus the final expression for the function becomes:
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Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.