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slavikrds [6]
3 years ago
12

Write two equivalent fractions for each 2/3

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Not sure if you want an equivalent fraction for 2/3 or 2 and 3 so I will give both!

2 can be any fraction where the numerator is 2x larger than the denominator.

Example, 2/1, 4/2, 6/3, 8,4 etc.

3 can be any fraction where the numerator is 3x larger than the denominator.

Example, 3/1, 6/2, 9/3, 12/4 etc.

An equal fraction to the fraction 2/3 would be anything that has a numerator is 2/3x larger than the denominator.

Example, 4/6, 6/9, 8/12 etc.

Hope this helps. :)


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Answer:

(a) E(Y) = 4400

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Step-by-step explanation:

(a) Here we have

Y = 2·X₁ + 3·X₂

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sd(Y) is given by

Variance Y = (sd (Y))² = 2²·(sd (X₁))² + 3²·(sd (X₂))²

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P(Y ≤ 4500) =  P(z ≤0.444)

z = \frac{\overline{\rm x} - \mu} {\sigma /\sqrt{n} }

z = \frac{4500 - 4400} {225 /\sqrt{1} } = 0.444

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P = 0.67003

(c) The probability that the P(X₁ > X₂)

Since the gas station sells 2 portions of X₁ to 3 portions of X₂

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₅C₀ × 2/5⁰×3/5⁵ = 0.07776

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₅C₂ × 2/5²×3/5³ = 0.3456

P (X₁ > X₂) = 1 - 0.68256 = 0.31744

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