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Thepotemich [5.8K]
3 years ago
14

For what x-values is the graphed function decreasing?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

Given function is decreasing for all x-values , except 4.

Step-by-step explanation:

We are given with a graph of the function and we are asked to find x-values for which function is decreasing.

We will say a function is decreasing If as x increases(from left to right) y decreases(goes down).

The given graph has 2 regions till x=4 and after x=4

Till x=4, if we see the graph from left to right, graph is going down, which means it is decreasing.

After x=4 also, as x goes from left to right, graph is going down, which means it is decreasing after x=4 also.

Hence the given function is decreasing for all x-values except x=4.

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Given : Significance level : \alpha:1-0.95=0.05

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The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=190\pm(1.96)\dfrac{11.7}{\sqrt{9}}\\\\=190\pm7.644\\\\=(190-7.644,\ 190+7.644)=(182.356,\ 197.644)

Thus, the 95% confidence interval for the true mean cholesterol content, μ, of all such eggs = (182.356,\ 197.644)

Hence, we conclude that the true population mean of amount of cholesterol lies between 182.356 and 197.644.

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