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zhannawk [14.2K]
3 years ago
11

If the 8% tax on a sale amounts to 96. What is the final price (tax included) of the item?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0

I believe it's E.) 12.96


12 times 8% equals .96 so $12.96 should be the answer since it wants the final price with tax :DD

Oksana_A [137]3 years ago
7 0

I want to say E but I'm not sure. Good luck >>>

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A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
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The exact value of its surface area = 144π m²

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Step-by-step explanation:

∵ The diameter of the sphere is 12m

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∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

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∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir
Ksju [112]

Answer:

We need a sample size of at least 75.

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, we 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.

The standard deviation is the square root of the variance. So:

\sigma = \sqrt{484} = 22

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

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

5 = 1.96*\frac{22}{\sqrt{n}}

5\sqrt{n} = 43.12

\sqrt{n} = \frac{43.12}{5}

\sqrt{n} = 8.624

(\sqrt{n})^{2} = (8.624)^{2}

n = 74.4

We need a sample size of at least 75.

6 0
3 years ago
Read 2 more answers
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