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Anuta_ua [19.1K]

3 years ago

13

5(3a+b)−2(3a+b) in simplest form I NEED HELP!

1 answer:

nordsb [41]3 years ago

7 0

Answer:

$9a + 3b$

Is the answer

Step-by-step explanation:

$5(3a + b) - 2(3a + b) \\ = 15a + 5b - 6a - 2b \\ = 9a + 3b$

$( - ) \times ( + ) = ( - ) \\$

That is why

$( - 2) \times b = - 2$

And

$( - 2) \times 3a = ( - 6)$

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Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

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$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

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This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

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