<span>So, L*W=A Because it is 4 cm longer, L=W+4 Because the area is 96, LW=96 Substitute to get W(W+4)=96 Multiply it out. W^2+4W-96=0 By solving the quadratic, W+12(W-8)=0 so either W+12 or W-8 is zero. The width must be positive, so the width is 8. Therefore the length is 12.
Hope this helps.</span>
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.
Outcomes value probability
win 225 1/4
lose 0 3/4
cost of bet = 40
So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25
This means that in the long run, gambler will win, since the expected value is positive. (does NOT mean she will win in the next bet!)
Answer:
Line Symmetry, Horizontal and Vertical Lines, 90 and 180 degrees
Step-by-step explanation:
It is line symmetry because you can fold the H, and it would overlap perfectly.
Horizontal and vertical lines because if you were to place a line in the middle both horizontally and vertically it would overlap.
90 and 180 degrees because the H would still have have symmetry if you flipped it on its side or upside down.
Answer:
I think
Step-by-step explanation:
y might be 50 degrees
z might be 40 degrees
w might be 140 degrees
x might be 130 degrees
