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igor_vitrenko [27]
3 years ago
9

After a 5% price cut, the price of a liter of petrol was 85.5 cents. What was the price per liter before the price cut?

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
Answer: 89.775

Working in picture
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Mathematical Statistics with Applications Help Homework
Mars2501 [29]

7.43: Let X denote the random variable for height and \overline X for the sample mean. Then if \mu is the mean of

So the probability that the difference between the sample and population means does not exceed 0.5 inch is

P(|\overline X-\mu|\le0.5) = P\left(\left|\dfrac{\overline X-\mu}{0.25}\right|\le\dfrac{0.5}{0.25}\right) = P(|Z|\le 2) \approx \boxed{0.95}

per the empirical or 68/95/99.7 rule.

7.44: For a sample of size <em>n</em>, the sample standard deviation would be \frac{2.5}{\sqrt n}. We want to find <em>n</em> such that

P(|\overline X-\mu| < 0.4) = 0.95

Comparing to the equation from the previous part, this means we would need

\dfrac{0.4}{\frac{2.5}{\sqrt{n}}} = 0.16\sqrt n = 2 \implies \sqrt n = 12.5 \implies n = 156.25

so a sample of at least 157 men would be sufficient.

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3 years ago
Find the volume of the cylinder.
Vaselesa [24]

Answer:

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Step-by-step explanation:

the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi

8 0
3 years ago
Paulo is creating a confidence interval based on sample data for the percentage of Americans that own a dog. His work is shown b
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3 years ago
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goblinko [34]

Answer:8

Step-by-step explanation:

First, substitute 7 into the equation for b:

1/3(2x7+10)

Now, simplify using the order of operations:

1/3(14+10)

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1/3 (24)

And you arrive at your answer:

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3 years ago
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Find the exact value of cot7pi/4
nata0808 [166]

Answer:

-1

Step-by-step explanation:

The radian gives the coordinates: ((\sqrt{2 } /2,-\sqrt{2 } /2) (found using the unit circle)

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Plug the x and y coordinates into their respective places in the equation.

You get the answer of -1.

7 0
2 years ago
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