The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. what percent of the variation in the number of yearly boaters can be explained by differences in lake sizes? a.74.3% b.55.2% c.44.8% d.37.2% algebra

The variation in any sample group is simply the square of the correlation coefficient, that is:

variation = r^2

Therefore given an r value, we can simply directly calculate for variation percentage.

variation = (0.743)^2

variation = 0.552 or 55.2%

B. 55.2%

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40