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3 years ago

Log(12), round to the nearest thousandths?

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

Answer:

1.079.

Step-by-step explanation:

Use ur calculator.

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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

Reflect (-1, 4) over the x-axis.

Eva8 [605]

Answer:

(- 1, - 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(- 1, 4 ) → (- 1, - 4 )

a translation of 3 units up means adding 3 to the y- coordinate , so

(- 1, - 4 ) → (- 1, - 4 + 3 ) → (- 1, - 1 )

6 0

3 years ago

Hi what is the answer to my question

Mashcka [7]

Answer:

594

Step-by-step explanation:

You multiply 18 by 3 by 11 :)

8 0

3 years ago

Read 2 more answers

2. Simplify 2x + 16 + 5x – 10

Sliva [168]

Answer: 7x + 6

Step-by-step explanation:

Combine like terms:

(2x + 5x) + (16 - 10)

5 0

3 years ago

Read 2 more answers

How do you work this 68.32/2.8=

timurjin [86]

It will be 24.4
I hope this helps

4 0

3 years ago

Log(12), round to the nearest thousandths?​

Log(12), round to the nearest thousandths?