8 is the answer to your question
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...
Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
the proportion of adults who belong to health clubs is 10% that is 0.10
the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.
Thus, the proportion of all adults who go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
Answer: 2 1/6
Step-by-step explanation: 13 divided by 6
Answer: Yes, well done.
Step-by-step explanation:
