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3 years ago

Find the probability a molecue will travel a distance at least equal to the mean free path

1 answer:

8 0

Exponential probability distribution f(r) = Ae-r/ λ λ where A = a constant, λ λ = mean free path 3. The attempt at a solution P = Integral (limits λ λ to ∞ ∞ )f(r) dr / Integral (limits 0 to ∞ ∞ ) f(r) dr

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

3 years ago

Curtis bought a skateboard which he later sold at a 30% loss for £14. How much did Curtis pay for

Norma-Jean [14]

Answer:

18 pounds if I'm correct

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2 years ago

What is true about any point on a coordinate plane with a negative x-coordinate and a y-coordinate that is not zero?

Ivenika [448]

It will always be on the first or third quartile of the graph, or the point will always be on the “left side” of the graph. Brainliest answer?;)

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2 years ago

2+2+4= 8 x 12=<br> .........

Sveta_85 [38]

Answer:

Step-by-step explanation:

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3 years ago

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Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the dif

rodikova [14]

Answer:

60men 40 women.... but I ain't sure

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3 years ago