Answer: Our required probability is 0.044.
Step-by-step explanation:
Since we have given that
Number of customers who have entered the drawing = 17
Number of customers live in the town of Gaston = 5
Number of customers live in Pike = 4
Number of customers live in Wells = 8
The first customer will be selected and then second customer will be selected from the remaining .
Probability of getting first customers are Pike residents = 
Probability of getting second customers are Pike residents = 
So, the probability that both customers selected are Pike residents are
Hence, our required probability is 0.044.
Answer:
-- Domain
-- Range
It is a function
Step-by-step explanation:
Given
Required
State the domain and range
Determine if the relation is a function
From the question, we have the domain and range as:
-- Domain
-- Range
Next, is to determine if the relation is a function or not.
Yes, it is a function.
The number of elements in the domain is 4
The number of elements in the range is 3
<em>When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.</em>
First we look for the angle of the vector, which will be given by:
tan (x) = (- 2/3)
Clearing x we have:
x = ATAN (-2/3) = - 33.69 degrees.
Which means that the angle is 33.69 degrees measured clockwise from the x axis.
Equivalently the angle is
360-33.69 = 326.31 degrees
326.31 degrees measured counterclockwise from the x axis.
The vector is then:
v = 10 (cos (326.31) i + sin (326.31) j)
answer
v = 10 (cos (326.31) i + sin (326.31) j)
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