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3 years ago

10m^3 of air weigh 13 kg.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

Answer:

The weigh of air in the room having volume 38.22 m³ is 49.68 kg

Step-by-step explanation:

Given as :

Length of room = 4.2 m

Width of room = 3.5 m

Height of room = 2.6 m

So , volume of room = Length × Width × Height

Or, volume of room = 4.2 m × 3.5 m × 2.6 m

∴, volume of room = 38.22 m³

Now,

∵ 10 m³ of air weigh 13 kg

so, 1 m³ of air weigh = $\frac{13}{10}$ kg

∴ 38.22 m³ of air weigh = $\frac{13}{10}$ kg × 38.22 kg

I.e 38.22 m³ of air weigh = 49.68 kg

Hence The weigh of air in the room having volume 38.22 m³ is 49.68 kg Answer

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Step-by-step explanation:

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(a)

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(b)

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$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$