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Sauron [17]
3 years ago
9

How old am i if 500 reduced by 4 times my age is 184

Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Answer:

79 years old

Step-by-step explanation:

Let's say your age is x.

The problem says "500 reduced by 4 times my age is 184", so we convert this to math:

- "4 times my age" ⇒ 4 * x = 4x

- "500 reduced by" ⇒ 500 - (something)

- "500 reduced by 4 times my age" ⇒ 500 - 4x

- "is 184" ⇒ = 184

- "500 reduced by 4 times my age is 184" ⇒ 500 - 4x = 184

Now, we simply solve for x:

500 - 4x = 184

4x = 500 - 184 = 316

x = 79

Thus, you are 79 years old.

Hope this helps!

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A 100% increase followed by a 50% decrease
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Answer:

1.

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The alternate hypothesis is H_1: \mu > 4

2.

The p-value of the test is of 0.0045.

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Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

H_0: \mu = 4

At the alternate hypothesis, we test that the mean is more than 4, that is:

H_1: \mu > 4

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t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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4 is tested at the null hypothesis:

This means that \mu = 4

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This means that n = 8, X = 6.4, s = 1.9

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

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