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WARRIOR [948]
2 years ago
10

A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.

What is the volume of the enlarged prism?
Mathematics
2 answers:
Alexus [3.1K]2 years ago
8 0
If the volume is doubled, you should have the length, width, and height multiplied by two. 10, 8 and 6. 
julia-pushkina [17]2 years ago
6 0
Volume of a Rectangular Prism = Length * Width * Height

Step 1:
Double your dimensions

5 cm x 2 = 10 cm
3 cm x 2 = 6 cm
4 cm x 2 = 8 cm

Step 2:
Multiply them together

Volume = 10 x 6 x 8
Volume = 60 * 8
Volume = 480 cm^3

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Answer:

a) n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401  

And rounded up we have that n=2401

b) n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22  

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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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.  

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

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The margin of error for the proportion interval is given by this formula:  

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n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have prior information about the population proportion we can use ase estimator \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401  

And rounded up we have that n=2401

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For thi case the estimator for p is \hat p =0.07

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