What happens to the volume of a rectangular prism when its length is tripled?
1 answer:
The volume of a rectangular prism is represented by the following equation:
where w is the width , l is the length, and h is the height
Replace with
since the length is tripled
From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.
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Answer:
5/4324 = 0.001156337
Step-by-step explanation:
To better understand the hyper-geometric distribution consider the following example:
There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).
We extract a random sample of 30 senators and we want to answer this question:
What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?
The answer using the h-g distribution is:
Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).
<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be
Now compute each combination separately:
and now replace the values:
and that is it.
If the decimal expression is preferred then divide the fractions to get 0.001156337