The following graph shows a seventh-degree polynomial:

Mathematics

2 answers:

LenaWriter [7]3 years ago

5 0

Part 1: The zeroes are -5 with a multiplicity of 2, -1 with a multiplicity of 1, 4 with a multiplicity of 3, 7 with a multiplicity of 1.

Part 2: The possible factored form of the function is (x + 8)^2(x + 1)(x - 4)^3(x - 7)

azamat3 years ago

4 0

The answer is included in the picture.

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3. Would it be more efficient to use an inequality vo

myrzilka [38]

Answer:

Inequality

Step-by-step explanation:

There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality

4 0

2 years ago

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$