When using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
1 answer:
The only option that meets the root theorem is option b.
<h3>which of the following is a possible root of the polynomial function below?</h3>
The polynomial function is:
The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.
In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3
Where 3 is a rational number:
3 = 3/1
The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).
If you want to learn more about polynomials.
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Answer:
The 99% confidence interval for the mean peak power after training is [299.4, 330.6]
Step-by-step explanation:
We have to construct a 99% confidence interval for the mean.
A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.
For a 99% confidence interval, the value of z is z=2.58.
We can calculate the confidence interval as:
The 99% confidence interval for the mean peak power after training is [299.4, 330.6]
The expected length of code for one encoded symbol is
where is the probability of picking the letter
, and
is the length of code needed to encode
.
is given to us, and we have
so that we expect a contribution of
bits to the code per encoded letter. For a string of length , we would then expect
.
By definition of variance, we have
For a string consisting of one letter, we have
so that the variance for the length such a string is
"squared" bits per encoded letter. For a string of length , we would get
.