A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.

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 correct answer to your question is a. 4^4

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