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Xerolt9
Here is the answer to your questions. The * symbol denotes multiplication.
For the first question:
1) 2+4+(6/2) = 9
2)
mean = (7.5*2+11*4+13*6+15*3+18*1)/(2+4+6+3+1) = ( 15+44+78+45+18 ) /16 = 12.5
3) (14/16)*(2/16) = 28/256 = 7/64
4) 4 children are represented by length of 8
1 child is represented by length of 8/4 =2
2 children are represented by length of 2*2 = 4 (answer)
For second question:
1) The best idea is to draw a diagram then see how to solve the question. If you draw PQ and PR they would both lie in the fourth quadrant (assuming P at origin). Since R lies on PQ essentially what that means is that both PQ and PR make the same angle with the horizontal.
9/3 = 6/h
h=2
2) PU = PQ + QU = (10 -7) (just writing column as a row because of obvious limitations
)
first component of PU = 3+7 = 10
second component of PU = -9 + 2 = -7
3) if U is the mid-point of QS that means:
QU = QS/2
or QS = 2* QU
we already know QU is (7 2). So QS will be (14 4)
now PS = PQ + QS
if you look at the second components of this vector equation you get:
k = -9+4 = -5
If you actually draw the diagram taking P as reference (origin), then the answer becomes clearer to see.