One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?
2 answers:
Answer:
7, 4, 3
Step-by-step explanation:
Using Descartes' rule of signs, you can determine there are zero negative real roots. The above answer choice is the only one with no negative zeros listed.
_____
The count of negative real roots is based on the number of sign changes when the signs of odd-degree terms are reversed. Doing that gives the signs of the terms as - - - -, so there are no changes. That means there are no negative real roots.
A graphing calculator confirms this choice.
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Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
