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Yuliya22 [10]
3 years ago
9

Which of the following values have 3 significant figures? Check all that apply.

Mathematics
2 answers:
iVinArrow [24]3 years ago
7 0
Option c) and d) have 3 significant figures
balu736 [363]3 years ago
3 0

OPTION C AND D

99.8 AND 458 are the values have 3 significant figures

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Step-by-step explanation:

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Answer:

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\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

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\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

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