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Dovator [93]
3 years ago
12

Find the area of a triangle given that c=40m b=20m a=48°

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
Area= \frac{1}{2}\cdot c\cdot  b\cdot sin  \alpha  \\\\------------------\\\\A= \frac{1}{2}\cdot 40\cdot20\cdot sin48^0\approx400\cdot0.7431=297.24\ [m^2]\\\\Ans.\ Area\ is\ about\ 297.24\ [m^2]
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Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

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<u>Step-by-step explanation:</u>

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