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4 years ago

There is a bag of 50 marbles.

Mathematics

1 answer:

SVETLANKA909090 [29]4 years ago

7 0

Answer:

If you want to find the probability of picking out a certain colored marble after you have already picked one out, then the probability changes, because now the total number of marbles you have is 32 instead of 33, and the probability of the color you could pick out can change depending on what marble you picked out first.

For example, if you want to know the probability of picking out an orange marble the second time, and you didn't pick out a orange marble the first time, then you still have 10 orange marbles, but now you have 32 total marbles, so the probability will be 10 out of 32 instead of 10 out of 33. But if you picked out 1 orange marble already, and you didn't put it back in, then you will have a probability of picking out 9 out of 32 because there are 9 orange marbles left.

In short: If you pick a marble out the first time and then put it back in the pile before your friend picks one out, then the probability of picking a marble of a certain color will be the same the second time as the first time because there will still be the same number of marbles with the same number of the same colored marbles as the first time, but if you don't put the marble back in, then the probabilities will change.

Step-by-step explanation:

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4 years ago

Solve for x. 2 1/2 x−3/4(2x+5)=3/8

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First, convert all of the fractions to decimals:
2.5x - .75 (2x + 5) = .375
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4 years ago

A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is 7

s2008m [1.1K]

Answer:

Step-by-step explanation:

The length of the ladder is the length of the hypotenuse of the right triangle formed. Since the height up the building is based on the distance the ladder is from the base of the building, and that distance is x, then the height up the building is x + 7. So what we have is a right triangle with one leg measuring x, the other leg measuring x + 7, and the hypotenuse measuring 13. Set up using Pythagorean's Theorem:

$13^2=(x+7)^2+x^2$ and do some simplifying. The left side is easy since 13-squared is 169; the right side not so much. We first have to expand that set of parenthesis by multiplying x + 7 by itself twice to get a second degree polynomial:

$(x+7)(x+7)=x^2+14x+49$ and now we have:

$169=x^2+14x+49+x^2$ which simplifies down a bit to

$169=2x^2+14x+49$

The only way to solve this for x, the height up the side of the building, is to factor. In order to do that, everything has to be on one side of the equals sign, setting the whole messy thing equal to 0:

$2x^2+14x+49-169=0$ and

$2x^2+14x-120=0$ . Begin by factoring out a 2:

$2(x^2+7x-60)=0$ and then factor the remaining quadratic using whatever method you are currently using in class to solve for x. Doing this will give that

x = -12 and 5. Since a side length will never be negative, we determine that x = 5 which is the distance between the bases of the buildings, and the height up the building where the ladder hits it is 12.

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3 years ago