A previous analysis of historical records found that the mean value of orders for promotional goods is 28 dollars, with the company earning a gross profit of 24% on each order. Calculate the expected value of the profit contribution next year. Expected value

The number of goods in an order is missing from the question, So, the calculation will be done on a per order basis.

The expected value of the profit contribution per order next year is $6.72.

Step-by-step explanation:

The mean value of orders for the promotional goods is $28.

The gross profit on each order is 24% = 0.24

Then the expected value of the profit contribution per order next year is,

0.24 × 28 = $6.72

Therefore, the expected value of the profit contribution per order next year is $6.72.

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.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .