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3 years ago

What is 27% of 76,200

Mathematics

2 answers:

Mashutka [201]3 years ago

5 0

You can evaluate every percentage in two simple steps:

First of all, divide your number by 100. This will give you the 1% of your quantity:

$\dfrac{76200}{100}=762$

Then, multiply the 1% by 27 to get the 27%:

$762\cdot 27=20574$

mamaluj [8]3 years ago

3 0

Answer:

20574 (happy to help)

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The equation looks like this:

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We solve it like this:
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(a+2b)(3x+2y)

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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

$H_0: p = 0.04$

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

$H_a: p > 0.04$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

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This means that $\mu = 0.04, \sigma = \sqrt{0.04*0.96}$

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This means that $n = 20, X = 0.1$

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$z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}$

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Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

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