<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B400%20%5Ctimes%20400%20-%2024%20%5Ctimes%20400%20-%20360%20%5Ctimes%20400%20-%202

3 years ago

00%7D%20" id="TexFormula1" title=" \sqrt{400 \times 400 - 24 \times 400 - 360 \times 400 - 200} " alt=" \sqrt{400 \times 400 - 24 \times 400 - 360 \times 400 - 200} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

max2010maxim [7]3 years ago

7 0

Answer:

$\sqrt{400 \times 400 - 24 \times 400 - 360 \times 400 - 200} \\ \\ = \sqrt{160000 - 9600 - 144000 - 200} \\ \\ = \sqrt{160000 - 9600 - 144000 - 200} \\ \\ = \sqrt{160000 - 153,800} \\ \\ = \sqrt{6200} \\ \\ = 78.74 \\ \\$

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luda_lava [24]

Answer:

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3 years ago

One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui

Oksana_A [137]

Answer: 90% confidence interval would be $(-0.2483,-0.0717)$

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, $p_m=\dfrac{10}{50}=0.2$

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So, $p_e=\dfrac{18}{50}=0.36$

So, at 90% confidence interval, z = 1.28

So, interval would be

$(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)$