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4 years ago

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The distance to your uncle's house is 184 miles, and the distance to Chicago is 552 miles. If it took 4 hours to drive to your u

ncle's house, how long would you estimate the drive to Chicago to be?

1 answer:

oksian1 [2.3K]4 years ago

6 0

Answer:

jdjazv f

Step-by-step explanation:

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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:

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

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3 years ago

What percent of 18 is 4.5?

nikklg [1K]

$\text{What percent of 18 is 4.5?}\\\\\text{Calculate what fraction of the number 18 is 4.5}\\\\\dfrac{4.5}{18}=\dfrac{45}{180}=\dfrac{1}{4}\\\\\text{Convert it to percent}\\\\\dfrac{1}{4}\cdot100\%=25\%\\\\Answer:\ \boxed{4.5\ is\ 25\%\ of\ 18}$

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3 years ago

Solve the equation for (x) and simplify. (7X/6) = (5//2),x

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15/7 might be the answer I’m not sure

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3 years ago

Help fast please !! Represent the following sentence as an algebraic expression, where "a number" is the letter x. 4 is added to

Oduvanchick [21]

The answer is 2x + 4 :)

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3 years ago

Which of the following statements is true? A) A counting semaphore can never be used as a binary semaphore. B) A binary semaphor

saveliy_v [14]

Answer:

C

Step-by-step explanation:

Statement C of the following statements is true

C). Spin-locks can be used to prevent busy waiting in the implementation of semaphore.

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3 years ago