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Marizza181 [45]
3 years ago
9

If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5, then P(A and B)=

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

P (A\ and\ B) = 0

Step-by-step explanation:

By definition if two events are mutually exclusive then they are disjoint events, that is, they can not occur at the same time.

In general terms we say that events are mutually exclusive, then:

P (A\ and\ B) = 0

In this case we have that

P(A)= 0.3\\\\P(B)= 0.5

But A and B are mutually exclusive events, then P (A\ and\ B) = 0

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oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

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3 years ago
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astra-53 [7]

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Step-by-step explanation:

31+7= answer

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Using it's concept, the domain of the function is given as follows:

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<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.

The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:

{x| –2 ≤ x <= 5}

More can be learned about the domain of a function at brainly.com/question/10891721

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