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marshall27 [118]
3 years ago
10

What is the volume of the rectangular prims ?

Mathematics
1 answer:
tangare [24]3 years ago
8 0

They are all different sizes.

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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:

623

Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

a) The confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\

b) The margin of error (E) is given as:

<h3>E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\\\\sqrt{n}= z_{\frac{\alpha}{2} }*\frac{\sigma}{E }\\ \\n=( z_{\frac{\alpha}{2} }*\frac{\sigma}{E })^2\\\\Substituting:\\\\n=(2.58*\frac{29}{3} )^2=622.0036\\\\\\n=623(to\ the \ next\ whole\ number)</h3>

The minimum sample size (n) is 623

3 0
4 years ago
Part B
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Answer:

In y=\sqrt{x-k} , the domain depends on k . As you slide k , you move the left bound of the domain interval. In y=\sqrt{x+k}  , the domain is fixed and always starts at 0 .

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

3,000 + her interest rate would make the money 150 per year so after 3 years it would be 450.

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