Answer:
c
Step-by-step explanation:
Create a conditional relative frequency table for the rows of the given table. This will show the percentages of each gender who are in each age category. Divide the value in each cell by the total number of entries in that row.
The conditional relative frequency table for rows for this situation is shown below.
Since both the percentage of male members who are age 51 and older and the percentage of female members who are age 51 and older is 0.09 or 9%, it can be concluded that the percentage of males who are 51 and older is the same as the percentage of females who are 51 and older.
Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.
1. Distance OD=distance OE, then:
.
2. Distance OD=distance OE, then:
.
Solve the system:
,
,
.
Then
.
Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.