a square reflecting pool has an area of 183.84 square meters. What is the approximate perimeter of the reflecting pool?
1 answer:
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Answer:
Step-by-step explanation:
These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.
Simplify by taking the prime factorization of each of those numbers.
8: 4*2 and 4 is a perfect square, so we'll stop there
72: 36*2 and 36 is a perfect square, so we'll stop there
50: 25*2 and 25 is a perfect square, so we'll stop there.
Now, rewrite each one of them in terms of their prime factorization:
and then pull out each perfect square as its root:
and now all the radicands are the same, so we can add them to get
or simply
Answer:
b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.
Step-by-step explanation:
Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of also changes.
The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.
In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.