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katrin [286]
3 years ago
14

Find the solution to each number sentence below:

Mathematics
2 answers:
Feliz [49]3 years ago
8 0

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Alexus [3.1K]3 years ago
8 0

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

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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
Lunna [17]
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:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
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
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
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P(x) = 0.5
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300*0.5 = 150

Answer: 150

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3 years ago
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