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Earn +20 ptsQ: Does there exist a nontrivial homomorphism from R to Z?
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If r 5 z then 15 z 3 y then r?
r=y
If r equals 5 z then 15 z equals 3 y then r equals?
I
What is the formula for calculating the depth of liquid in a sphere?
Consider a sphere of radius r. Let the z-axis be the vertical axis and suppose the sphere's centre is at z = 0. [Thus the sphere goes from z = -r to z = r.] Suppose the volume of liquid in it is V. Then you need to sove 3V/pi = 3r2z - z3 + 3r3 - r3 = 3r2z - z3 + 2r3 for z. Then, the depth is z + r
Find z score for normal distribution for 60th percentile?
it doesn't exist.
Is the divides relation on the set of positive integers transitive?
Yes. Suppose x divides y then there exist an integer p such that y = px. Suppose y divides z then there exist an integer q such that z = qy. Therefore z = q*px = qp*x Since p and q are integers then pq is an integer and therefore x divides z. That is to say: if x divides y and y divides z, then x divides z.
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