Power & Light produces voltage-regulating equipment in New York and ships the equipment to Chicago. A voltage regulator is considered acceptable if it can hold a voltage of 25—75 volts. The voltage held by each unit is measured in New York before each unit is shipped. The voltage is measured again when the unit arrives in Chicago. A sample of voltage measurements from each city is given below. NY CHICAGO
30.05 0.91
30.63 1.05
31.17 1.07
32.74 1.82
34.58 2.21

a. Using descriptive statistics, comment on what you have learned about the voltage held by units before and after shipment.
b. What percentage of units is acceptable before and after shipping?
c. Do you have any suggestions about how to improve the quality of City Power & Light’s regulators?
d. Ten percent of all New York regulators have a voltage exceeding what value?
e. Five percent of all New York regulators have a voltage less than or equal to what value?

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.

is only a line? i think so

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: