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Dovator [93]
3 years ago
12

If two angles are supplements of the same angle, then thymus be equal to measure

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

They must equal 180°. Supplementary angles equal 180°

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2x to the third power - 4y to the second power-10
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2 (x^3 - 2y^2 -5)

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The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
Leya [2.2K]

Answer: (0.665 , 0.777)

Step-by-step explanation:

Given : Sample size of consumers: n=420  ;

Number of consumers say their ColorSmart-5000 television sets did not need a repair=303

The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair : \hat{p}=\dfrac{303}{420}\approx0.721

Significance level : \alpha:1-0.99=0.01

Critical value = z_{\alpha/2}=\pm2.576

The confidence interval for population proportion is given by :_

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

i.e.  0.721\pm (2.576)\sqrt{\dfrac{0.721(1-0.721)}{420}}

\approx0.721\pm 0.056=(0.721-0.056,0.721+0.056)\\\\=(0.665\ ,\ 0.777)

Hence,  a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair = (0.665 , 0.777)

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3 years ago
Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise.
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3 years ago
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