According to a survey by accountemps, 48% of executives believe that employees are most productive on tuesdays. suppose 200 executives are randomly surveyed.
a. what is the probability that fewer than 90 of the executives believe employees are most productive on tuesdays?
b. what is the probability that more than 100 of the executives believe employees are most productive on tuesdays?
c. what is the probability that more than 80 of the executives believe employees are most productive on tuesdays?

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.

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what is the information provided?

step-by-step explanation: