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natka813 [3]
3 years ago
6

The measure of one of the acute angles in a right triangle is given. find the measure of the other acute angle

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
The sum of angles in a triangle is 180 degrees. In a right angle triangle one angle will be 90 degrees. And if one of the acute angles is already know then just minus 90 degrees and the known acute angle from 180 degrees to find the other acute angle.

180-90-known acute angle = unknown acute angle
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What the answer is for this question
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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
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We need at least 243 stores.

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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The margin of error of the interval is:

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

For this problem, we have that:

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95% confidence level

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Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

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How many solutions does this system
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