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pshichka [43]
3 years ago
12

In the figure, transversal t intersects the parallel lines a and b, and is 64.76°.

Mathematics
2 answers:
o-na [289]3 years ago
6 0
<4+<5=180 because they're corresponding angles
<4=180-<5 Solving for angle 5.
<5+<8=180 because they're supplementary because they're on the same line.
<span><8=<4=180-<5 transitive property of equality</span>
Mama L [17]3 years ago
3 0

If you're on treca and need help, here is the image. The measure of angle 4 corresponds with angle 1, so it would measure 64.76. To get the measure of angle 6, subtract 64.76 from 180. You get 115.24.

Therefore,

4= 64.76

6= 115.24

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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.

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For this problem, we have that:

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90% confidence level

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).

7 0
3 years ago
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