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hoa [83]
3 years ago
8

One can convert temperature from Kelvin into Fahrenheit using the formula F = 9/5 (K - 273) +32. What is the temperature in Kelv

in corresponding to F degrees Fahrenheit?

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

You are being asked to solve for K given F.

Subtract 32 from both sides. Put brackets around the two terms on the left.

(F - 32) = 9/5(K - 273)       Multiply both sides by 5/9
5/9(F - 32) = K - 273         Now add 273 to both sides
5/9(F - 32) + 273 = K

You are actually converting the F temperature to Celcius first. Once in degrees C, you are then adding 273 to make it degrees Kelvin.
ahrayia [7]3 years ago
5 0

Answer:

If you're on edmentum here you go.

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The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r
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Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

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So on this case the 95% confidence interval would be given by (23.9;32.1)  

Step-by-step explanation:

Previous concepts

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=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

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Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

Now we have everything in order to replace into formula (1):

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

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