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strojnjashka [21]
3 years ago
14

If two supplementaryangles are in the ratio 2:3, find the angles.

Mathematics
1 answer:
kramer3 years ago
5 0
The angles are 72 degrees and 108 degrees.

Explanation:

Angle 1 : Angle 2 = 2 : 3
Angle 1 = 2k
Angle 2 = 3k

Angle 1 + Angle 2 = 180 (supplementary angles)
2k + 3k = 180
5k = 180
k = 36

Angle 1 = 2k = 2 x 36 = 72 degrees
Angle 2 = 3k = 3 x 36 = 108 degrees
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Evaluate the algebraic expression 18 + (- 31) =
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Step-by-step explanation:

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3 0
2 years ago
Researchers measured the bone mineral desnsity of the spines of 94 women who had taken teh drug CEE. The mean was 1.016 g/cm2, a
Valentin [98]

Answer:

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

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M = z*\frac{\sigma}{\sqrt{n}}

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M = 1.96*\frac{0.155}{\sqrt{94}} = 0.0310

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The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

6 0
3 years ago
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