The two-way frequency table shows the favorite mathematics subject of a group of male and female students at a school.
Geometry
Total
Algebra Statistics
22
9
Male
18
49
Female
21
19
11
51
Total
39
41
20
100
The marginal frequency is the greatest for males.
The joint frequency is the greatest for females who like statistics.
The joint frequency is the greatest for females who like geometry.
The joint frequency is the smallest for males who like statistics.
The marginal frequency is the greatest for algebra among the subjects.

i do not know this sorry : (

55/i dont know i do it for the points

step-by-step explanation:

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 .