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Nikolay [14]
3 years ago
6

What is the solution to the system of equations y= -5x +3 y=1

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
To find the solution to this, we need to use the substitution method.

y = -5x + 3

Substitute the value for y.

y =1

1 = -5x + 3

Now, solve for x.

1-3 = -5x + 3           Apply the inverse operation to both sides of the equation.
            -3

1-3 is -2

-2 = -5x

-5x/-5 = -2/-5 
x = 0.4

Final answer:-   x = 0.4     y = 1
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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:

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

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The test statistic is:

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

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Considering an standard significance level of 0.05.

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