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Ad libitum [116K]
3 years ago
11

Mrs. Friedmon baked a walnut cake for her class.

Mathematics
1 answer:
Setler [38]3 years ago
5 0
That's great.. I'm allergic to walnuts but good for the class. What if some students have allergies though?
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4 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
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Answer:

We need a sample size of at least 719

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{1-0.95}{2} = 0.025

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 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error 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.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

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

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

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3 years ago
Ben made a model (shown below) of the square pyramid he plans to build when he grows up. Find the surface area of the model.
OverLord2011 [107]

Answer:

The surface area of the model is SA=240\ m^{2}

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of four lateral triangles

so

SA=10*10+4(\frac{1}{2}(10)(7))\\ SA=100+140\\SA=240\ m^{2}

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