Find the slope of the line passing through the points(3,-9) and(2,-2) .
1 answer:
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Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:
Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:
Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:
Thus, the probability of the union of events "woman" or "no" is 0.45.