set theory, Mathematics

set theory
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A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the

find the coordinates of points of tri-section of the line joining the points (-3,0) and (6,6).

The Rank Correlation Coefficient (R) Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among tw

The 3-D Coordinate System We will start the chapter off with a quite brief discussion introducing the 3-D coordinate system and the conventions that we will be utilizing.  We

Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x. Ans:    Sec? = x +  1/4x ⇒ Sec 2 ? =( x + 1/4x) 2                             (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +

Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to


Carry out the indicated operation and dropped down the answer to lowest terms.  (x 2 - 5x -14/ x 2 -3x+2) .   (x 2 - 4)/x 2 -14x+49) Solution This is a multiplication.