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myrzilka [38]
3 years ago
5

What percentage is 40kg of 1tonne?

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

So using the conversion of 1 metric ton to kg, we see that there are 1000 kg in 1 ton. Then we can divide 40 by 1000 to find the decimal:

\frac{40}{1000}=0.04

Then to convert this decimal to a percentage, we must multiply by 100%:

0.04*100=4

So now we know that 40 kg is 4% of 1 ton.

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
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Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

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The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

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