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7nadin3 [17]
3 years ago
12

A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb pe

r cubic inch, what is the total weight of the pebbles in the cube?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0
First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds
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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
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Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

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

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

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Perform the indicated operation.<br> 1/3÷3/8<br> A) 1/8<br> B)8/9<br> C)1 1/8
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1/3÷3/8

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