3.5(x+2.2)^2+3.5(y-11.1)^2=21 what is the radius of the circle?
1 answer:
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Answer:
c) (-2, 1)
Step-by-step explanation:
3x - 3y = -9
2x + y = -3
2x + y = -3
-2x -2x
y = -2x - 3
3x - 3y = -9
y = -2x - 3
3x - 3(-2x - 3) = -9
3x + 6x + 9 = -9
9x + 9 = -9
- 9 -9
9x = -18
/9 /9
x = -2
y = -2x - 3
y = -2(-2) -3
y = 4 - 3
y = 1
(x, y) --> (-2,1)
Check your answer:
y = -2x - 3
1 = -2(-2) - 3
1 = 4 - 3
1 = 1
This statement is true
Hope this helps!
The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.
Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.
Probability is the chance of happening an event among all the events possible.
Probability of winning is calculated as under:
Probability=
We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.
We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17 numbers left and from total 80, 20 numbers are taken.
=C(20,3)C(60,17)/C(80,20)
=(20!/3!17! * 60!/17!43!)/80!/20!60!
=1140*387221678682300/35353161422121743200
=12.48%
Hence the probability of winning is 12.48%.
Learn more about probability at brainly.com/question/24756209
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