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2 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Answer:

the height of the building is 18.6 m

Step-by-step explanation:

using the Pythagorean theorem

a^2+b^2=C^2

a and b are the shorter legs while c is the hypotenuse

a=32, b=?, c=37

32^2+b^2=37^2

square the known numbers ( a and c)

1024+b^2=1369

subtract 1024 from both sides

b^2=345

square root both sides to cancel the square on b

b=18.5741756

Round if needed b=18.6m

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2 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

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.

434 is tested at the null hypothesis:

This means that $\mu = 434$

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This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

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

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

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2 years ago

Using the function attached.<br> Find (f+G)(x)

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Therefore, the value of $(f+g)(x)$ would be $5x^2+5x+7$ .

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3 years ago

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