<u>Answer:</u>
60 out of 250 children will prefer organized sports.
<u>Step-by-step explanation:</u>
We are given the results of a random survey of children between the ages of 13 and 18 about their favorite activity.
Based on these results, we are to find the number of children who will prefer organized sports if 250 children were asked about their favorite activity.
Children who will prefer organized sports =
= 60
Drag graphs to show a graph of each equation in the table.
A : C Graph
B : D Graph
C : A Graph
D : B graph
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
a.) 0.3 = 3/10 b.)5 1/3 = 16/3 c.)0 = 0/1 d.)73 = 73/1 e.)-0.21 = -21/100 Cheers, Stan H.
0.3
2 7/8
-5
16