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lianna [129]
3 years ago
13

(3+h)^3-27/h Lim--->0 help pls. ...?

Mathematics
1 answer:
iragen [17]3 years ago
7 0
[(3 + h)³ - 27]/h
= (27 + 27h + 9h² + h³ - 27) /h
= h(h² + 9h + 27)/h
= h² + 9h + 27
h → 0
= 0 + 0 + 27
= 27
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And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

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

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

The degrees of freedom are given by:

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The Confidence is 0.96 or 96%, the significance is \alpha=0.04 and \alpha/2 =0.02, and the critical value would be t_{\alpha/2}=2.154

Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

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