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2 answers:
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<h3>Answer: 83.85%</h3>
This value is approximate.
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Explanation:
Let's compute the z score for x = 40
z = (x-mu)/sigma
z = (40-47)/7
z = -1
We're exactly one standard deviation below the mean.
Repeat these steps for x = 68
z = (x-mu)/sigma
z = (68-47)/7
z = 3
This score is exactly three standard deviations above the mean.
Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.
34+34+13.5+2.35 = 83.85
<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.
A. Solution set is in the attachment (dark green shading in the middle)
B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15
5 + 1 > 3, 6 is greater than 3
C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches
