A. {9,10,11,12} 9 and 10 are elements of set A but 11 and 12 aren't elements of A. Subsets of A { } {1} {2} {3} {4} {5} {6} {7 } {8} { 9} {10} {1,2} {1,3} {1,4} {1,5} {1,6} {1,7} {1,8} {1,9} {1,10} {1,2,3} {1,2,4} {1,2,5}........ you can write like this using all the elements of A
Put the values you know in the formula and solve for the constant of variation. .. y = kx^2 .. k = y/x^2 . . . . . fill in values for y and x and compute.
Porobability distribution of X x P(x) 0 0.2 1 0.4 2 0.4 Total .1.0 i] Expectation Mean=Σxp Variance=x²p-(∑xp)² thus: Mean=(0*0.2)+(1*0.4)+(2*0.4) =0+0.4+0.8 =1.2
ii] Variance Variance=[(0²*0.2)+(1²*0.4)+(2²*0.4)]-(1.2)² =[0+0.4+1.6]-1.44 =0.56 hence: standard deviation=sqrt(0.56)=0.74833
Any transformation that is getting smaller is a dilation. Bigger, an enlargment. In this instance, it is a scale factor of 1/2, because scale factor 1 is congruent, greater than one an enlargement, less than one but greater than zero is a dilation.
