Answer:
Null and alternative hypotheses:
H0: p1 = p2
H1: p1 ≠ p2
To find the sample proportions, we have the following:
Calculate Z statistics:
Z = -2.764
P-value = 0.00285
The pvalue is low.
Since the pvalue is low, reject null hypothesis, H0.
Conclusion:
There is strong evidence that patients experiencing the primary outcome is different for those receiving the treatment compared to those without
Rotational symmetry. Because you can rotate it and put a line through it and it would all look the same
9(3j-6) = 27j - 54
<span>Note: a(b-c) = ab - ac</span>
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...
(792 bulbs) To answer this question one would multiply the number of rows times the number of bulbs 6 x132= ? to get the answer.