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olya-2409 [2.1K]

3 years ago

6

A bag contains eight green marbles and four blue marbles. what is the probability of drawing a green marble on the second draw?

1 answer:

Stolb23 [73]3 years ago

3 0

<span>2/3 probability of drawing a green marble on the second draw. If the marbles are replaced after each draw, the probability will always be 2/3 of a green marble being drawn. But for this problem, going to assume that the marbles are not replaced after each draw. So we have 2 possible scenarios. 1. The first marble drawn is green This even happens with probability of 2/3 and leaves you with 7 green marbles and 4 blue marbles. So the probability of picking a green marble again is 7/11. 2. The first marble drawn is blue This event happens with probability of 1/3 and leaves you with 8 green marbles and 3 blue marbles. So the probability of picking a green marble this time is 8/11 The total probability of picking a green marble on the 2nd pick is the sum of the product of each probability. So 2/3 * 7/11 + 1/3 * 8/11 = 14/33 + 8/33 = 22/33 = 2/3</span>

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5 0

3 years ago

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Divide x ^ 4 + x - 1 by x - 1

vladimir2022 [97]

The required, divide is given by $=x^3+x^2+x+2+\frac{1}{x-1}$

<h3>What is fraction of polynomial?</h3>

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$=x^3+\frac{x^3+x-1}{x-1}\\$

$=x^3+x^2+\frac{x^2+x-1}{x-1}\\$

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Thus the required, divide is $=x^3+x^2+x+2+\frac{1}{x-1}$ .

Learn more about Fraction of polynomial here:
brainly.com/question/9686817

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2 years ago

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Inessa [10]

<u><em>Answer:</em></u>

i. The boat will travel 18.5 miles in one hour

ii. The boat will travel 9.25 miles in half an hour

iii. The boat will travel 27.75 miles in one and a half hours

<u><em>Explanation:</em></u>

We are given that the boat travel 37 miles in 2 hours

To get the miles traveled, we can simply use cross multiplication

<u>i. Miles traveled by the boat in one hour:</u>

37 miles .....................> 2 hours

x miles ........................> 1 hour

$x = \frac{37*1}{2}=18.5$ miles

<u>ii. Miles traveled in half an hour:</u>

37 miles .....................> 2 hours

x miles ........................> 0.5 hour

$x = \frac{37*0.5}{2}=9.25$ miles

<u>iii. Miles traveled in an hour and a half:</u>

37 miles .....................> 2 hours

x miles ........................> 1.5 hour

$x = \frac{37*1.5}{2}=27.75$ miles

Hope this helps :)

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4 years ago