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lord [1]
3 years ago
5

Which skeleton protects the body's vital organs. a. Axial. b. Appendicular

Health
1 answer:
Aleks04 [339]3 years ago
4 0
The appendicular skeleton protects the body's vital organs.

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According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0
liberstina [14]

Answer:  (a)  0.927

(b) 14.2%

Explanation:

Given : According to the National Health Survey, the heights of adult males in the United States are normally distributed .

Mean : \mu=69

Standard deviation : \sigma=2.8

Let X be a random variable that represents the heights of adult males in the United States .

Z-score : z=\dfrac{x-\mu}{\sigma}

(a) For x= 64

z=\dfrac{64-69}{2.8}\approx-1.79

For x= 74

z=\dfrac{74-69}{2.8}\approx1.79

Using the standard normal distribution table , we have

The deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 64 and 74 inches tall :-

P(64

Hence, the probability that an adult male chosen at random is between 64 and 74 inches tall = 0.927

b) Since 1 feet = 12 inches

Then , 6 feet = 6\times12=72\text{ inches}

The z-score corresponds to x=72 :

z=\dfrac{72-69}{2.8}\approx1.07

Then , the probability that the adult male population is more than 6 feet tall :-

P(x>72)=P(z>1.07)=1-P(z

Hence, the  percentage of the adult male population is more than 6 feet tall = 14.2%

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