12,000 Students Applied...
To find the answer, consider that for every 1000 students that apply, 150 students are accepted.
Divide 1800 by 150 and you get 12....which can be translated to 12,000 students
Answer:
6
/19
≅ 0.3157895
Step-by-step explanation:
Number 41 is letter c I think tell me if it helps you
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...
