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Klio2033 [76]
3 years ago
13

What is the volume of the pyramid?

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer: 16 cm^2.

Step-by-step explanation: The volume of a pyramid is equal to one-third the product of the area of the base and the height:

V=\frac{1}{3}A*h

In this case, the base is a square, so its area is:

A=L^2 where "L" is the lenght of the base edge

So the volume would be:

V=\frac{1}{3}L^{2} *h

V=\frac{1}{3}4^{2} *3

V=16*3/3

V=16cm^{2}

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A geologist examines 14 geological samples for iron concentration. The mean iron concentration for the sample data is 0.181 cc/c
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Answer:

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{0.0318}{\sqrt{14}} = 0.0140

The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

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3 years ago
What is the equation of the line x–3y=18x–3y=18 in slope-intercept form?
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Step-by-step explanation:

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