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Vikki [24]
3 years ago
14

If P(A) = 0.002, what is the value of P(Ā)

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

0.998

Step-by-step explanation:

P(Ā) = 1 - P(A) = 1 - 0.002 = 0.998

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When 2(3/5x+2 3/4y-1/4x-1 1/2y+3) is simplified, what is the resulting expression?
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Answer:

Option B is correct.

Step-by-step explanation:

2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)

We need to solve the above expression.

First Convert Mix fraction into improper fraction

2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)

Combining the like terms

=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)

Solving like terms

=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)

Multiply each term with 2

=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6

=\frac{7x}{10}+ 2\frac{1}{2}y+6

So, Option B is correct.

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