Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
Let the original profits be $x. 5% increase in profits will give us:
105/100×x=$1.05x
3% reduction in new profits ill give us the latest amount to be:
97/100×1.05x
=$1.0185x
comparing our new profits to our original amount of $x we shall have new percentage increase to be:
(1.0185x-x)/x×100
=1.85%
Thus our final increase 1.85%
3=12
1=3
6=24 lee has the 6 ratio therefore he gets 24. I worked this out on the basis that has 9 more than jake not nine all together.
