Ten people were chosen at random and surveyed. Their annual incomes (X) and the amounts of their annual charitable giving (V)
are both shown in the table below.
Salary
(in ten thousands)
X
38
42
48
55
58
62
66
72
78
120
Charitable Giving
in thousands)
Y
3.8
0
0
2.
0
2
0
1
3
0.5
Using technology, compute the correlation coefficient, and determine if there is a correlation between the variables.

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

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