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3 years ago

Write an equation for the description

Mathematics

2 answers:

jeka943 years ago

8 0

Answer:

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131 = 43.6666666 + 87.33333333

131 = 131

Step-by-step explanation:

MissTica3 years ago

5 0

Answer:

$131=6w$

Step-by-step explanation:

$l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}$

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3 years ago

Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years.

Arada [10]

Answer:

a) $0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799$

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The 95% confidence interval would be given by (0.799;0.847)

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And rounded up we have that n=622

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And rounded up we have that n=1068

Step-by-step explanation:

Part a

$\hat p=\frac{823}{1000}=0.823$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: