Answer:
Option (B)
Step-by-step explanation:
If the probabilities of two events A and B are P(A) and P(B) then the conditional probability of an event that can be derived by the formula,
P(B | A) = 
P(A ∩ B) = P(B|A) × P(A)
P(A ∩ B) = (0.8) × (0.4)
= 0.32
Therefore, Option (B) will be the correct option.
Answer:
(x +9)(x +8)
Step-by-step explanation:
In a quadratic with leading coefficient 1, the coefficient of the linear term (17) is the sum of factors of the constant term (72). If you know your times tables, you know that 8×9 = 72, and you also know that 8+9 = 17.
With these facts, you can write the factorization as ...
(x +8)(x +9)
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If you need to see the working out, rather than jumping to the end, you can use the sum information to rewrite the linear term:
x^2 +(8x +9x) +72
Now factor pairs of terms:
(x^2 +8x) + (9x +72) = x(x +8) +9(x +8) = (x +9)(x +8)
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It also helps to be familiar with the product of binomials:
(x +a)(x +b) = x^2 +(a+b)x +ab
Complementary angles add up to 90 degrees. Congruent angles are equal to one another (have the same degrees) Supplementary angles add up to 180 degrees.
124 + 56 = 180
The angles are supplementary
Answer:
Step-by-step explanation:
Keep in mind that 1 week is equivalent to 168 hours, or, alternatively, to (7 days)(24 hours per day). Thus, Answer 5 is correct.
