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Inessa05 [86]
3 years ago
10

Simplify the radical expression -4√160 A: -4√16 B: √10 C: -16√10 D: -4√80

Mathematics
1 answer:
wel3 years ago
3 0
The answer is:  [C]:  " -16√10 " .
________________________________________________________
Note:
________________________________________________________
  " -4√160"  = -4 * √160 " ; 
________________________________________________________
√160 = √16 *√10 = 4√10 ;

-4 * * 4√10 = -16√10 ;  

which is:  Answer choice:  [C]:  " -16√10 " .
_________________________________________________________
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Step-by-step explanation:

Assuming this complete problem: "12. An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68% confidence level, the spectrometer estimates that the branch was 10,000 years old with a following could the spectrometer estimate as the age of the branch at the 95% confidence level?"

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Solution to the problem

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

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\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error for this case is given by this formula:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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The margin of error can be expressed like this:

ME = z_{\alpha/2} SE

We can solve for the standard error on this case and we got:

SE = \frac{ME}{z_{\alpha/2}} =\frac{200}{0.994}=201.207

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ME = z_{\alpha/2} SE = 1.96*201.207=394.366

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B. 10000 years old, with a margin of error of 400 years

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