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wlad13 [49]
4 years ago
5

Two tokens are such that one is colored

Mathematics
1 answer:
denpristay [2]4 years ago
4 0

Answer:

The probablitiy that the other side is also red is 0.67 (2/3)

Step-by-step explanation:

The conditional probability of A given B is denoted as P(A|B) and has the equation:

P(A|B)= (P(A) × P(B|A)) / P(B)

the probability that getting red after picking one token and flipping, P(R),

=probability of picking two side red token and getting red +

the probability of picking one side red one side blue token and getting red

=0.5 × 1 + 0.5 × 0.5 = 0.75

P(TR|R) means the probability of picking two side red token given that token landed red and equals to:

P(TR|R) = P(TR) × P(R|TR) / P(R) = 0.5 × 1 / 0.75 =2/3 ≈ 0.67

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I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inc
kupik [55]

Answer:

The perimeter of the picture frame is 38.4 in.

The area of the picture frame is 92.6 in.².

Step-by-step explanation:

The given information are;

Perimeter of side piece of picture frame = 24 inches

Length of side piece = L

Width of side piece = W

Perimeter of side piece = 2 × (L + W) = 24

∴ L + W = 24/2 = 12 inches

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Number of side piece in picture frame = 4

Given that the length L > the width W, we have

Side length of wooden frame = L

Also, where the side piece are placed side by side, we have;

Side length of wooden frame = 4 × W

Therefore;

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Which gives

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W×(4 + 1) = 5·W = 12 inches

W = 12/5 = 2.4 inches

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L = 48/5 = 9.6 inches  Side length of wooden frame, s

The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.

The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².

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