Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the ellipse is placed on a larg
e coordinate grid with its center at (0, 0), the equation (the drawing ^) models the path of the track. The units are given in yards. How long is the major axis of the track? Explain how you found the distance.
Given: center (0,0) the equation given should have been: x²/2500 + y²/8100 = 1
We need to identify the larger denominator. If it is under x, the ellipse is horizontal. If it is under y, the ellipse is vertical. In this case, 8100 is larger and it is under y so the ellipse is vertical.
(x-h)²/b² + (y-k)²/a² = 1
h and k are the center values which are both 0. a = length of the semi-major axis b = length of the semi-minor axis
In what I know of this problem and what you told me I think there is a 1/2 chance!
think about it, if the life span is 15 years old with standard deviation of 3 then that means we can have bats from 12~18 years old and the mean of the 50 numbers can be anything between that depending on the results we got. Then half of values in interval 12~18 is over 15 which gives it a 1/2 probability!
