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Gre4nikov [31]
2 years ago
15

Solve for x . Help me

Mathematics
1 answer:
solmaris [256]2 years ago
3 0
X = 26 because all the angles in a triangle add up to 180.
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P(red & blue) = 16/21

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-0.183 as a fraction in the simplest form??
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-0.183 = -0.183 / 1

Numerator = -0.183 × 10 × 10 × 10 = -183
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Numerator / Denominator = -183 / 1000

Our simplified fraction is:

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Solve the equation 14=7(2x-4) using two different methods. Show your work. Which method do you prefer? Explain. need help thanks
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Answer:

x=3

Step-by-step explanation:

14=7(2x-4)

14/7=2x-4

2=2x-4

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14=7(2x-4)

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A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac
Valentin [98]
The vertex (5,39)

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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
ankoles [38]

Answer:

1.

The null hypothesis is H_0: \mu = 4

The alternate hypothesis is H_1: \mu > 4

2.

The p-value of the test is of 0.0045.

3.

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.

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

The test statistic is:

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

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

4 is tested at the null hypothesis:

This means that \mu = 4

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

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

Test statistic:

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

t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}

t = 3.57

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.

6 0
3 years ago
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