Sam is thinking of retiring from his job after many years of faithful service. During the last 35 years at his job, his annual s
2 answers:
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Correct Answer: First Option
Explanation:
There are two ways to find the actual roots:
a) Either solve the given quadratic equation to find the actual roots
b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.
Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:
This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.
The probability of picking one girl would be . That is because there are 5 girls out of the 12 students, and the probability of an event occuring is:
.
Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us:, for the probability of picking a boy as the second pick.
And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be:.
We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:
Which when reduced is: