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2 years ago

Helpppppppppppppppppp

Mathematics

1 answer:

EastWind [94]2 years ago

7 0

Answer:

1) 4 bottles

2) $0.75

3) $5.25

Step-by-step explanation:

1)9/3 = 3 so you must divide 12 by 3

12/3=4 bottles

2)12/1=12

divide 9 by 12

9/12 =$0.75

3)12/7 = $\frac{12}{7}$ (The actually number is too long to write so just leave it in fraction form)

9÷12/7=$5.25

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

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Answer:

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

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

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The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

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

So, we have:

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

Note that: 1 is subtracted because it is a probability without replacement

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

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

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

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

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1 year ago

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