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3 years ago

5

Rank from highest to lowest in order of decresing mass

1 answer:

vivado [14]3 years ago

6 0

<span>The best idea to solve this question is to convert all in same unit i.e. grams. 1 Gg = 10^9 g 100 g = 10^2 g 50 cg = 50*10^-2 g = 0.5 g 1 kg = 1000 g 1 cg = 0.01 g 1 dg = 0.1 g 50 mn ng = 50 * 10^6 * 10^-9 gram = 5* 10 ^-2 g = 0.5g So, the correct order is 1 Gg > 1 kg > 100 g > 50 cg = 50 mn ng > 1 dg > 1 cg</span>

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Answer:

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Step-by-step explanation:

Given

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$\mu = 2.894$ -- Mean

$\sigma = 0.009$ --- Standard deviation

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This question will be solved using the finite correction factor

First, calculated the z score

$z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}$

$z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}$

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$z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}$

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$z = -1.71$

So:

$P(x < 2.892) = P(z < -1.71)$

Using z table

$P(x < 2.892) = 0.043633$

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