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mixer [17]
2 years ago
10

If P(A)=0.54 then what value of P(B) the event A and B are complementary event

Mathematics
1 answer:
aleksley [76]2 years ago
7 0

Answer:

<em>P(B) = 0.46</em>

Step-by-step explanation:

<u>Probability</u>

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

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Step-by-step explanation:

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x=4

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2(6x + 4) + -6 + 2x = 3(4x + 3) + 1

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2 + 14x = 10 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

2 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x

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Add '-2' to each side of the equation.

2 + -2 + 2x = 10 + -2

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Combine like terms: 10 + -2 = 8

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Divide each side by '2'.

x = 4

Simplifying

x = 4

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