Shelly found that the coefficient of determination between the age of a runner x and the runner’s finishing position y was about 0.728. what can she conclude? 72.8% of the variation in and the runner’s finishing position is explained by the runner’s age. 0.728% of the variation in and the runner’s finishing position is explained by the runner’s age. 53% of the variation in and the runner’s finishing position is explained by the runner’s age. 0.728 more variation in and the runner’s finishing position is caused by the runner’s age.

The answer is choice A. Roughly 72.8% of the variation in the finishing position can be explained by the runner's age.

All we do is move the decimal 2 spots to the right to convert to a percent. This is the same as multiplying by 100, so, 100*0.728 = 72.8%

There isn't any other work needed to be done because this is a useful property of the coefficient of determination.

Note: r^2 is the coefficient of determination while r itself is the correlation coefficient.

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584