Answer:
15 students do not like either sport
Step-by-step explanation:
See the attached image.
Step 1: put 35 in the "like to play both" (intersection) area.
Step 2: subtract those 35 from the 65 football players. 65 - 35 = 30 players like football but not cricket. Put 35 in the football but not cricket area.
Step 3: subtract 35 from the 55 cricket players. 55 - 35 = 20 players like cricket but not football. Put 20 in the cricket but not football area.
Step 4: Add the 30 + 35 + 20 = 85 together. So 85 players are accounted for as players of one or more sports.
Step 5: 100 - 85 = 15 must be the number of students who did not like either sport. Put 15 in the area outside both circles.
No, that would be an invalid inference because he actually sampled from only half of the total population not the entire population.
so 12% of the 50% he sampled would be valid, but since he did not use the entire population, the results cannot affect all of them.<span />
Answer:
angle D should be equal to angle C
Step-by-step explanation:
i think this is the answer you need but i'm not sure
Start with the standard equation of a circle with center at (h,k) and radius r:
(x-h)^2 + (y-k)^2 = r^2. Substitute -5 for h and 12 for k:
(x-0)^2 + (y-0)^2 = r^2
Next, we substitute -5 for x and 12 for y, with the objective of determining the value of r^2:
(-5-0)^2 + (12-0)^2 = r^2. Then 25 + 144 = 169 = r^2, and r = 13.
Thus, the answer choice "x2 + y2 = 169" is the correct one.
Important: Please use " ^ " to denote exponentiation: x^2 + y^2 = 169.