rodrigo is a salesman who earned a base pay of $38,800 and was paid commission of 14% for each book set he sold. If x represent
1 answer:
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Answer:
Hence, option (3) is correct.
Step-by-step explanation:
The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
The probability of Roger winning the tournament, given that Stephan wins, is 0 i.e.
The probability of Stephan winning the tournament, given that Roger wins, is 0 i.e.
We know that
⇒ P(A∩B)=0
But if A and B are independent events then P(A∩B)=P(A)×P(B)
Hence, P(A|B)=P(A)
Similarly
Hence, if A and B are independent events then,
P(B|A)=P(B)
But in this situation such a thing is not possible.
Hence, option (3) is correct.
Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:
The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:
However, since we are in the 3rd quadrant, the actual angle is:
So now we can find the cosine of the angle, which will be negative: