We are given the data 4 8 5 12 3 9 5 2 and is asked for the mean and standard deviation of the numbers or data set. The mean is the average equal to 6. The standard deviation reveals the spread of the data. In this case, the standard deviation is equal to 3.16
For the first question, we can extend all of the lines on the trapezoid, and triple the distance from B on the line, so we can use the fact that B is (2, 2), A is (0, 0), C is (4, 2), and D is (6, 0) to get that the new coordinates are A (-4, -4), B (2, 2), C (8, 2), and D (14, -4).
For the second question, notice that we are changing the size on the same line, and every side length is tripled by 3. If every side length is tripled by 3, then the perimeter of the new image is triple the perimeter of the original.
Well, it depends on the school. Do you have a list of the classes?
It's b. Group all the pounds together and all the volumes together. Small packages weigh 30 lbs (30x), lg pkgs weight 65 lbs (65y) and together they weigh at most 3800 lbs. So 30x + 65y <= 3800 (they divided each of those terms by 5 to get 6x + 13y <= 760). Next take the volumes: small pkgs have a volume of 4 ft^3 (4x) and lg pkgs have a volume of 9 ft^3 (9y) and together they are no more than 400 ft^3. So 4x + 9y <= 400. It's b.
