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Serjik [45]
2 years ago
14

If A and B are events with P(A)=0.7, P(A OR B)=0.77, and P(A AND B)=0.13, find P(B).

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

  P(B) = 0.20

Step-by-step explanation:

For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...

  P(A or B) = P(A) +P(B) -P(A and B)

Solving for P(B), we find ...

  P(B) = P(A or B) +P(A and B) -P(A)

  P(B) = 0.77 +0.13 -0.7 = 0.20

The probability of B is 0.20.

__

<em>Additional comment</em>

The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.

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Which of the following three vectors has the greatest magnitude: v + (−w), w − v, or
makvit [3.9K]

Answer:

All have same magnitude.

Step-by-step explanation:

Given that

Vector 1 = V+ (-W) = V - W

So the magnitude of vector 1, R₁

R_1=\sqrt{(V-W)^2}

R₁ = V -W

For vector 2

Vector 2 = W - V  = W - V

So the magnitude of vector 2, R₂

R_2=\sqrt{(W-V)^2}

R₂ = V -  W

For vector 3

Vector 3 = (-V) - (-W) = - V + W = W - V

So the magnitude of vector 3,

R_3=\sqrt{(W-V)^2}

R₃ = W -V

So all have same magnitude.

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3 years ago
The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.
Alex17521 [72]

Answer:

The area of the rectangular playroom is 260 feet² .

Step-by-step explanation:

Given:

The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.

Now, to find its area we need the length .

So, putting the formula of perimeter we get it's length:

Let the length be l .

Perimeter = 2( length + width)

72=2(l+10)

72=2l+20

subtracting both sides from 20:

72-20=2l+20-20

52=2l

Dividing both sides by 2:

52\div2=2l\div2

26=l

Length is 26 feet.

And, to get the area we put the formula of finding the area:

Area=length\times width

Area=26\times 10

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Therefore, the area of the rectangular playroom is 260 feet² .

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Step-by-step explanation:

id strongly prefer using the app? website desmos. it will help a lot.

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aev [14]
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garik1379 [7]

Answer:

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Step-by-step explanation:

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