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xxTIMURxx [149]
3 years ago
10

Simplify the following: 6a + 3 (2a - 7) -9

Mathematics
2 answers:
oee [108]3 years ago
4 0
-24a-30. This is so because when you distribute you get numbers with like terms which you can then combine into a "simple" answer.
DedPeter [7]3 years ago
3 0
1 Expand

<span><span>6a+6a−21−9</span>
2 Collect like terms

<span><span>(6a+6a)+(−21−9)</span>
3 Simplify

<span><span>12a−30</span><span>
I hope this helps. :)</span></span><span>

</span></span><span>

</span></span>


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Answer:

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Step-by-step explanation:

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4 years ago
It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra
aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.  

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

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4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

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Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

P(R/TH)=\frac{P(R y TH)}{P(TH)}

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

P(R/TH)=\frac{0.45}{0.6} =0.75

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

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Answer:

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Step-by-step explanation:

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