Answer:
Step-by-step explanation:
Probability of getting a 7 + Probability of not getting a 7 = 1.
Odds against drawing a 7 = Probability of not getting a 7.
We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.
There a four sevens in a deck of card, one of each kind.
Probability of getting a 7 =
P(not getting a 7)
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = = 4