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2 years ago

12

The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) i

s 1 square unit. Find the areas of these shaded triangles. Orange: 1/4 square units Blue: _____ square units Green: _____ square units

2 answers:

Wittaler [7]2 years ago

4 0

Answer:

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

Katen [24]2 years ago

3 0

Answer:

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

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Answer: (0.132132, 0.274368)

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$\hat{p}=\dfrac{25}{123}\approx0.203252$

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

Confidence interval for population :

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i.e. $0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}$

$0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)$

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

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