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Tom [10]
2 years ago
8

Determine the total number of roots of each polynomial function. f (x) = 3x^6 + 2x^5 + x^4 - 2x^3

Mathematics
1 answer:
iogann1982 [59]2 years ago
6 0

The total number of roots of the given polynomial function is 6.

The given polynomial is f(x)=3x^{6}+2x^{5}+x^{4} -2x^{3}.

We need to determine the total number of roots of the given polynomial function.

What is the total number of roots of the polynomial function?

The number of roots of any polynomial is depended on the degree of that polynomial. Suppose n is the degree of a polynomial f(x), then fx) has n number of roots.

Here, the degree of the given polynomial function is 6.

Therefore, the given polynomial function will be having 6 roots.

To learn more about the polynomial function visit:

brainly.com/question/12976257.

#SPJ1

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In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places
erastova [34]

Answer:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

np = 45*0.4= 18 >10

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For this case we can assume that the population proportion have the following distribution  

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Where:

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\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703

And we want to find this probability:

P(p

And we can use the z score formula given by:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

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