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sdas [7]
3 years ago
5

Is (3, 1) a solution to this system of equations? 13x + 17y = 12 x + 7y = 19

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

No, (3, 1) is not a solution to this system.

Step-by-step explanation:

13x+17y=12

x+7y=19

-----------------

13(3)+17(1)=39+17=56, not 12

3+7(1)=3+7=10, not 19

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Plot the graph and the points.

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A copy machine makes 32 copies per minute. how many copies does it make in 4 minutes and 45 seconds?
emmainna [20.7K]

152

Step-by-step explanation:

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3 years ago
State University uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 600
Ipatiy [6.2K]

Answer:

The test statistic is t = 2.5.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

Step-by-step explanation:

Mean life of 600 hours. Test if it is more.

At the null hypothesis, we test if the mean is of 600 hours, that is:

H_0: \mu = 600

At the alternative hypothesis, we test if the mean is of more than 600 hours, that is:

H_1: \mu > 600

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.

600 is tested at the null hypothesis:

This means that \mu = 600

Suppose 100 bulbs were tested and found to have a mean of 625 hours with a standard deviation of 100.

This means that n = 100, X = 625, s = 100.

Value of the test-statistic:

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

t = \frac{625 - 600}{\frac{100}{\sqrt{100}}}

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The test statistic is t = 2.5.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 625 hours, which is a right-tailed test, with t = 2.5 and 100 - 1 = 99 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.007.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

4 0
3 years ago
Geometry, please answer my question ASAP
Strike441 [17]

Answer:

98 degrees

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The angles of a quadrilateral add up to 360 degrees, therefore:

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70x +80=360

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x=4

the angle at C:

25*4-2 = 98 degrees

6 0
3 years ago
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