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3 years ago

Y=3x-5\6x+3y=15 solve for x hurry

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer: x= 2

how i solved: (in photo)

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An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

7 0

3 years ago

What is the value of -44

garik1379 [7]

Hi friend!

I presume you mean "What is the absolute value of -44!

Well an absolute value is always positive. So the absolute value of -44 is 44!

Hope I helped!

If not, tell me more clearly what you need!

4 0

3 years ago

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In a small community college lecture hall there are 13 rows of seats , for the first four rows the number of seats are 10,14,18,

antoniya [11.8K]

The answer is 58...
hope this helps

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3 years ago

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How to estimate, then find the sum of<br>137,638 + 52,091

alukav5142 [94]

137,638
+52,091
-------
189,729 ⇨ 189,730

7 0

3 years ago

Drag each tile to the correct cell in the table.

Gnoma [55]

Answer:

Ari has 14 pennies.

Step-by-step explanation:

Number Value Total value

Pennies p $0.01 0.01p

Nickels (22 - p) $0.05 $(22 - p)0.05

Total 22 - $0.54

Since Ari has total value of the coins = $0.54

0.01p + (22 - p)0.05 = 0.54

0.01p - 0.05p + 1.1 = 0.54

-0.04p = -0.56

p = $\frac{0.56}{0.04}$

p = 14

Therefore, total number of pennies Ari has = 14

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3 years ago

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