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3 years ago

How can the Fundamental Theorem of Algebra be used to show that any polynomial of odd degree has at least one root?

Mathematics

1 answer:

iragen [17]3 years ago

6 0

Answer:

<h2> I want to prove that every real polynomial of odd degree has at least one real root, using the intermediate value theorem.</h2><h2 /><h2>Let </h2>

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Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

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3 years ago

Ok the photo is bad but please help me because my mom is going to spank me if I don’t get a good grade and I need this assignmen

Tpy6a [65]

Answer:

The answer would be greater since its being multiply the answer will always be greater than what you're multiplying.

Step-by-step explanation:

The product WILL be greater than the other two factors. When multiplying by a fraction the product is GREATER than the lesser factor.

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Step-by-step explanation:

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