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Answer:
3) (98.08, 124.16)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 111.12
Standard deviation = 13.04
Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.
68% of the fines are within 1 standard deviation of the mean speed. So
From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16
The interval notation in the smallest value before the highest value.
So the correct answer is:
3) (98.08, 124.16)
Answer:
a=4
Step-by-step explanation:
<u>Question: 4-8a=4(5-3a)</u>
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1) Distribute 4 to 5 and -3a:
4-8a=20-12a
2) Add 12a to both sides:
4+4a=20
3) Subtract 4 from both sides:
4a=16
4) Divide both sides by 4:
a=4
Footnotes:
- The <em>Distributive</em> property says a(b+c)=ab+ac
