The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Choice B - Supremacy
As used in line 53, "dominion" most nearly means supremacy.
In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.
Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).
For more information about dominion, visit
brainly.com/question/11588378
#SPJ4
Answer: A.Kelvin’s because he surveyed people leaving an area where food is sold
Step-by-step explanation:
Given: Kelvin and Lewie each design surveys in order to determine the number of people who buy food at the mall.
Kelvin surveys every other person leaving the food area.
Thus, he doesn't know about the people who do not buy food at mall whereas Lewie surveys every fifth person leaving the mall’s main entrance.
Thus, by this systematic random sampling he knows out of how many people the number of people buy food at mall.
Hence, Kelvin’s survey is likely to produce less valid results because he surveyed people leaving an area where food is sold.
its b
Step-by-step explanation:
not really sure hope you get this right im sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo sorrryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy i9f you get this wrong
I Got 0.01041666666 As An Answer <span />
