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babymother [125]
4 years ago
12

Evaluate (491) square in the form of (a-b) square

Mathematics
1 answer:
Tomtit [17]4 years ago
6 0

Step-by-step explanation:

(491)^{2}  \\  \\  = (500 - 9)^{2}  \\  \\  = ( {500})^{2}  - 2 \times 500 \times 9 + ( {9})^{2}  \\  \\  = 250000 - 9000 + 81 \\  \\  = 16000 + 81 \\  \\  = 16081 \\  \\    \huge\purple{ \boxed{\therefore (491)^{2}= 16081}}

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Suppose a deck of cards contains 13 cards:
ira [324]

Answer:

P(G_1) = \frac{5}{13}

P(G_2) = \frac{1}{3}

P(X \ge 1) = \frac{25}{39}

Step-by-step explanation:

Given

G = 5

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B = 4

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Solving (a): P(G_1)

This is calculated as:

P(G_1) = \frac{G}{n}

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Solving (b): P(G_2)

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Solving (c): P(X \ge 1)

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P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}

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Simplify

P(X = 0) = \frac{2}{13} * \frac{7}{3}

P(X = 0) = \frac{14}{39}

Recall that:

P(X \ge 1) = 1 - P(X = 0)

P(X \ge 1) = 1 - \frac{14}{39}

Take LCM

P(X \ge 1) = \frac{39 -14}{39}

P(X \ge 1) = \frac{25}{39}

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