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scoundrel [369]

2 years ago

12

3/7 + 1/3 is equivalent to

2 answers:

cestrela7 [59]2 years ago

8 0

Answer:

7/21+9/21=16/21

Hope it helps

Have a good day

Westkost [7]2 years ago

8 0

Answer:

16/21

Step-by-step explanation:

$\frac{3}{7}+\frac{1}{3}$

First, make them have a common denominator.

The least common factor of 7 and 3 is 21, so you can do

3/7 * 3/3 = 9/21

1/3 * 7/7 = 7/21

The new expression would be:

$\frac{9}{21}+\frac{7}{21}$

$\frac{16}{21}$

So the answer is 16/21

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

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Answer:

$E(X_n)=\frac{2(n-1)}{27}$

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Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

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Generally the equations for when n is even is mathematically given by

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$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

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$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

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b)

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

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