Answer:
Step-by-step explanation:
x² - x -6 = x² + 2x - 3x - 3*2
=x(x + 2) - 3(x + 2)
= (x + 2 )(x - 3)


Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Answer:
0.40
Step-by-step explanation:
to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8
Let A = sum of dice is 8
B = one lands in 5
P(B/A) = P(AB)/P(A) by conditional probability
P(AB) = sum is 8 and one is 5
So (5,3) or (3,5)
P(A) = sum is 8.
i.e. (2,6) (2,6) (3,5) (5,3) (4,4)
Required probability
= n(AB)/n(A)
=
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