The factor of f(x) is (x-(4-13i))
If a polynomial function f(x) has roots 4 – 13i and 5
One of the complex roots is 4-13i
If we have one complex root then there should be one more complex root.
<h3>What is the complex root?</h3>
complex roots come in pairs like (a+ib) and (a-ib)
so another complex root for 4-13i is 4+13i
If 'a' is a root then the factor is (x-a)
4+13i is a root
So the factor is (x-(4-13i))
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The sentence cannot be written in active voice. the sentence would not make anu sence. the store robbed just after midnight is written in active voice and it does not make sense
The value of the probability P(A and B) is 0.12
<h3>How to determine the probability?</h3>
The given parameters are
P(A) = 0.40
P(B) = 0.30
Given that the events are independent events;, we have:
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.40 * 0.30
Evaluate
P(A and B) = 0.12
Hence, the value of the probability P(A and B) is 0.12
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Answer:
A sample size of at least 87 will be needed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
So
A sample size of at least 87 will be needed.
