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Roman55 [17]
3 years ago
15

Find the probability that either event a or b occurs if the chance of a occurring is .5, the chance of b occurring is .3, and ev

ents a and b are independent.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
Then the probability is
P(a)+P(b)-P(a&b)
0.5+0.3-0.5*0.3=0.8-0.15=0.65
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Which ordered pair (a, b) is the solution to the following system of equations?
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Answer:

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Step-by-step explanation:

It is about as easy to try the solutions as it is to find them from scratch.

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However, we can determine which one it is by adding twice the second equation to the first.

  (-2a +3b) +2(a -4b) = (14) +2(3)

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Factorize:<br>3a^2 + 10a + 3​
sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

3a

a

<em>STEP TWO: separate 3 into two terms</em>

3

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<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

3a     1

a       3

When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

3a  ⇒   1

a   ⇒    3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

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1.3

Step-by-step explanation:

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2 years ago
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