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bulgar [2K]
3 years ago
11

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. wha

t percentage of the balls weigh within one standard deviation of the mean? 50% 68% 95% 99.7%
Mathematics
1 answer:
zlopas [31]3 years ago
8 0
The empirical rule for normal distributions states that approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean.
The answer is 68%.
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<h3>Answer:</h3>

2.2 miles

<h3>Explanation:</h3>

The mnemonic SOH CAH TOA reminds you that

... Sin = Opposite/Hypotenuse

We are given an angle (10°) and its opposite side length (1983 ft), and we are asked to find the hypotenuse (the straight-line distance from the plane to the runway).

... sin(10°) = (1983 ft)/distance

Multiplying by distance and dividing by sin(10°), we have ...

... distance = (1983 ft)/sin(10°) ≈ 11419.6 ft

We want to express this in miles, so we have ...

... 11419.6 ft = (m mi)×(5280 ft/mi)

... (11419.6 ft)/(5280 ft/mi) = m mi ≈ 2.163 mi

Rounding to tenths, the distance is ...

2.2 miles

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<em>Comment on the question</em>

The distance from the plane to the airport is different than the horizontal distance from the airport at which the descent must start. The latter distance is the "adjacent" leg of the triangle, so must be found using the tangent function. Rounded to tenths, it is 2.1 miles.

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