The overhead reach distances of adult females are normally distributed with a mean of 205 cm 205 cm and a standard deviation of 8 cm 8 cm. a. Find the probability that an individual distance is greater than 217.50 217.50 cm. b. Find the probability that the mean for 25 25 randomly selected distances is greater than 203.50 cm. 203.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?\

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.

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out