Camilla takes a random sample of 40 of her 480 coworkers to learn their preferred workout. Her results are in the table. Based on the sample, what is the estimate for the number of coworkers for whom swimming is their preferred workout (in other words, if this is a good sample, how many out of 480 would prefer to swim?). Answer in a whole number, no words.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

the answer is d. (1.2, -4.7) on edgn

hope this !

x+14

step-by-step explanation: