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leva [86]
4 years ago
6

Triangle DEF has vertices D(-4,3), E(1,2), and F(-3,3); 180 degrees​

Mathematics
1 answer:
solniwko [45]4 years ago
5 0

Step-by-step explanation:

180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b)

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Answer:

Teachers: 25

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Step-by-step explanation:

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7 0
3 years ago
Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 10
igomit [66]

Answer:

The confidence interval has an lower limit of \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}} and an upper limit of \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}, in which \pi is the sample proportion and n is the size of the sample.

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

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value 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}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval has an lower limit of \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}} and an upper limit of \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}, in which \pi is the sample proportion and n is the size of the sample.

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4 years ago
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Distribute :

3(2+7)=6(4)−3

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Rearrange the formula I =
anyanavicka [17]
R=pi/l2 i know this i took the test

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