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PIT_PIT [208]
3 years ago
11

There is a bag of 50 marbles.

Mathematics
1 answer:
SVETLANKA909090 [29]3 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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3 years ago
What is the inverse of y= 10^x +8?
shepuryov [24]

Answer:

x = \log_{10}(y - 8), where y > 8.

Step-by-step explanation:

The question is asking for an expression for x in terms of y.

The first step is to move as many constants away from the side with x as possible. In this question, that could be done by subtracting 8 from both sides of the equation.

y - 8 = 10^{x} + 8 - 8.

y - 8 = 10^{x}.

Notice how x is in the position of an exponent. Logarithms could help move x out of that position.

For any base b > 0:

\log_{b} b^{x} = x\, \log_{b}\, b = x.

In this question, 10 would be the base. That is: b = 10.

Take the logarithm (with 10 as the base) of both sides of the equation y - 8 = 10^{x}:

  • Left-hand side: \log_{10} (y - 8).
  • Right-hand side: \log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x.

Equate both sides to find an expression for x:

x = \log_{10}(y - 8).

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3 years ago
One gallon of water weighs about 8.34 pounds.<br><br> How much does 3.5 gallons of water weigh?
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Answer:

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8.34 * 3 = 25.02

8.34 * 0.5 = 4.17

25.02 + 4.17 = 29.19

Step-by-step explanation:

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