Question 18(multiple choice worth 1 points) (01.01) period 1 has 15 students in it and a test average of 86%. period 2 has 21 students in it and an average of 88%. period 3 has 12 students in it and an average of 95%. use weighted means to find the overall average of the classes.

89.125%

Step-by-step explanation:

The weighted mean is simply the multiplication of the number of student in each period times the respective average of said period, divided by the total number of students:

Average = = 89.125%

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .