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Answer: Choice B</h3>
Matthew will score less than 27 points in about 0.15% of his basketball games.
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Explanation:
mu = 33 = population mean
sigma = 2 = population standard deviation
Let's find the z score when x = 27
z = (x - mu)/sigma
z = (27-33)/2
z = -6/2
z = -3
A score of 27 points is exactly three standard deviation units below the mean of 33 points.
Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.
That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.
One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.
To get a more accurate answer, you can use a Z table to find that

which isn't too far off from the 0.15%
Answer:
1. This means that the actual park size is 50 times larger than the size of the park on the map.
2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;
= 7 * 50
= 350 inches
3. 1 foot is 12 inches so 350 inches will be;
= 350/12
= 29.2 feet
4. The real life length of the car is;
= 5 * 67
= 335 inches
5. The real life length in feet is;
= 335/12
= 27.9 feet
6. Speed = Distance / time
The time should be converted to hours;
= 10/60 minutes
= 1/6
Speed = 9 / (1/6)
= 54 miles per hour
= 54 mph

The equation of a elipse:

The length of the major axis is equal 2a if a > b or 2b if b > a.
We have

therefore the length of the major axis is equal 2 · 7 = 14.