Answer:
x = 3
Step-by-step explanation:
m<R = 180 - 110 = 70
m(arc)KQ = 2 × 70 = 140
m(arc)PQ = 140 - 50 = 90
30x = 90
x = 3
The probability that the flight would be delayed when it is not raining is 12.15%.
Since at LaGuardia Airport, for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15, while the probability that it will not rain and the flight will leave on time is 0.74 , to determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:
Therefore, the probability that the flight would be delayed when it is not raining is 12.15%.
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To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula: P(delayed | not raining) = P(delayed and not raining) / P(not raining). We are given the values for these probabilities and can calculate the answer as approximately 0.914.
To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula:
P(delayed | not raining) = P(delayed and not raining) / P(not raining)
We are given that P(delayed and not raining) = 0.74 and P(not raining) = 1 - 0.19 = 0.81. Substituting these values into the formula:
P(delayed | not raining) = 0.74 / 0.81 ≈ 0.914. Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.914.
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(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)
we will proceed to verify each case to determine the solution
remember that
case A)
applying distributive property
------> is not a real number
therefore
the case A) is not a real number product
case B)
applying distributive property
------> is not a real number
therefore
the case B) is not a real number product
case C)
applying difference of square
------> is a real number
therefore
the case C) is a real number product
case D)
applying distributive property
------> is not a real number
therefore
the case D) is not a real number product
the answer is
1 and -1 are the only rational numbers which are their own reciprocal.