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Snezhnost [94]
3 years ago
10

I need help with this

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

Volume = 14.5 cm³

Step-by-step explanation:

Volume of cone = \pi r^2\frac{h}{3}

<u><em>Where r = 2 and h = 3.46</em></u>

Volume = (3.14)(2)^2\frac{3.46}{3}

Volume = (3.14)(4)(1.15)

Volume = 14.5 cm³

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Answer:

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)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size  

Confidence interval

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:

df=n-1=29-1=28

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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