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malfutka [58]
3 years ago
13

What is the property of 7/9 * 1 = 7/9

Mathematics
1 answer:
lidiya [134]3 years ago
5 0

Answer:

Identity property of multiplication (multiplying a number by one will result in that number)

Step-by-step explanation:

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Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.
DiKsa [7]

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The arc length of the entire circle would be 2*PI*9

We need to know the arc length of 1/3 of the circle so we calculate

arc length = (2 * PI * 9) / 3

arc length = 2 * PI * 3

arc length = 6 * PI

arc length = 18.8495559215

Step-by-step explanation:

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Sum of three consecutive natural numbers is 63, what is the greatest number?
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Read 2 more answers
The probability that a student correctly answers on the first try (the event
Mademuasel [1]
Note that the two events are mutually exclusive. If the question is answered correctly on the first try, there's no need to give it another attempt. So \mathbb P(A\cap B)=0.

We're given that P(A)=0.2 and P(B\mid A^C)=0.5. From the first probability, we know that P(A^C)=1-0.2=0.8. By definition of conditional probability,


\mathbb P(B\mid A^C)=\dfrac{\mathbb P(B\cap A^C)}{\mathbb P(A^C)}
\implies\mathbb P(B\cap A^C)=0.5\cdot0.8=0.4

We're interested in the probability of either A or B occurring, i.e. \mathbb P(A\cup B). Apply the inclusion-exclusion principle, which says

\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)-\mathbb P(A\cap B)

We know the probability of intersection is 0, and we know \mathbb P(A). Meanwhile, by the law of total probability, we have

\mathbb P(B)=\mathbb P(B\cap A)+\mathbb P(B\cap A^C)=\mathbb P(B\cap A^C)

so we end up with

\mathbb P(A\cup B)=0.2+0.4=0.6
3 0
3 years ago
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