Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:
![43.5 - 3(2.77) = 35.26](https://tex.z-dn.net/?f=43.5%20-%203%282.77%29%20%3D%2035.26)
![43.5 + 3(2.77) = 51.88](https://tex.z-dn.net/?f=43.5%20%2B%203%282.77%29%20%3D%2051.88)
Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:
![43.5 - 2(2.77) = 38.03](https://tex.z-dn.net/?f=43.5%20-%202%282.77%29%20%3D%2038.03)
![43.5 + 2(2.77) = 49.11](https://tex.z-dn.net/?f=43.5%20%2B%202%282.77%29%20%3D%2049.11)
Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:
![43.5 - 2.77 = 40.73](https://tex.z-dn.net/?f=43.5%20-%202.77%20%3D%2040.73)
![43.5 + 2.77 = 46.27](https://tex.z-dn.net/?f=43.5%20%2B%202.77%20%3D%2046.27)
Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
Answer:
37
Step-by-step explanation:
Answer:
the answer for this question is 4
In order to combine radicals when you're adding or subtracting, 2 things have to be in place. First, the index has to be the same. We have all the indices as 4's (fourth roots), so we're good there. Second, the radicand also has to be the same. Right now, none of them are, so we need to try to simplify and see if they are the same, just well-hidden. The first one,
can be simplified down to
. We can pull out one of those 4 twos, and when we do that we have
which simplifies even further to
. The second term,
cannot be simplified at all...it is what it is. Next term,
can be rewritten as
. We can pull out one of those 4 threes and simplify to
which simplifies even further to
. Lastly, we have
. We can rewrite this as
. Pulling out 4 twos leaves us with
which simplifies to
. So here's what we have in all:
. We will combine the like terms to get a final answer of
. Third choice down is the one you want.