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Zina [86]
3 years ago
11

X + 5y = 8 -x + 2y = -1 How is this solved?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0
Add both the equations together to eliminate x

x+5y=8
-x+2y=-1

7y=7
y=1

Now fill in y into the original equation

x+5(1)=8
x+5=8
x=3

Now you can check by filling x and y into the second equation.

-(3)+2(1)=-1
-3+2=-1
-1=-1

So your answer will be (3, 1)

Brainliest my answer if it helps you out?
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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
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Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

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So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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