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:


Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:


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:


Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
Answer:
-3.5
Step-by-step explanation:
We have to find the distance between x and z along the y-axis.
This will be: 5 - -6 = 11 units
1/5 th of 11 = 1/5 × 11
= 11/5
= 2 1/5 = 2.5
Now add 2.5 to -6
2.5 + -6 = -3.5
The value of y = -3.5