Mathematics, 05.02.2021 21:10 slavenkaitlynn
Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that
f(x) = { c/x^3 x ≥ 1
0 x < 1}
Where c is a constant
a. Find the value of c so that f(x) is a probability density function.
b. Find the mean particle diameter.
c. Find the cumulative distribution function of the particle diameter.
d. Find the median particle diameter.
e. The term PM10 refers to particles 10 μm or less in diameter. What proportion of the contaminating particles are PM10?
f. The term PM2.5 refers to particles 2.5 μm or less in diameter. What proportion of the contaminating particles are PM2.5?
g. What proportion of the PM10 particles are PM2.5?
Answers: 3
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Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³
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Mathematics, 21.06.2019 21:30
*let m∠cob = 50°30’, m∠aob = 70° and m∠aoc = 20°30’. could point c be in the interior of ∠aob? why? a. point c could be the interior of aob but it is not the only case b. point c is the interior of aob c. point c is not the interior of aob d. the given is not possible for the plane geometry answer
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Mathematics, 21.06.2019 21:30
Aye asap pls ! markin da brainiest too ! btw da step choices are all add, distribute, divide, n subtract
Answers: 2
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