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Nadya [2.5K]
2 years ago
13

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
Helga [31]2 years ago
4 0

Answer:

x = 22.1°

Step-by-step explanation:

Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad

Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad

Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad

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Answer:

The 95% confidence interval is (-0.2451, 06912)

Step-by-step explanation:

From the question, we have;

The number of small cars in the sample of small cars, n₁ = 12

The number of small cars that were totaled, x = 8

The number of large cars in the sample of small cars, n₂ = 15

The number of large cars that were totaled, y = 5

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The 95% confidence interval for the difference pX - pY is given as follows;

pX-pY\pm z^{*}\sqrt{\dfrac{pX\left (1-pX  \right )}{n_{1}}+\dfrac{pY\left (1-pY  \right )}{n_{2}}}

\dfrac{2}{3} -\dfrac{1}{3} \pm 1.96 \times \sqrt{\dfrac{\dfrac{2}{3} \times \left (1-\dfrac{2}{3}   \right )}{12}+\dfrac{\dfrac{1}{3} \times \left (1-\dfrac{1}{3}   \right )}{15}}

Therefore, we have;

\therefore 95\% \  CI = \dfrac{1}{3} \pm 0.3578454

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6 0
2 years ago
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Half of R is shown as 20 degrees, so the other half of r is also 20 degrees.

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