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True [87]
2 years ago
15

A person is standing exactly 36 ft from a telephone pole. There is a 30 degree angle of elevation from the ground to the top of

the pole.
What is the height of the pole ?
A. 12 ft
B. 12 square root of 3 ft
C. 18 ft
D. 18 square root of 2 ft
Mathematics
1 answer:
valentinak56 [21]2 years ago
7 0
<span>B. 12 square root of 3 ft</span>
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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
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Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
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P(x) = 0.0912

x = 65 in
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P(x) = 0.1587

x = 71:
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300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
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Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

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