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Andreas93 [3]
2 years ago
10

Americans get about 13 percent of their calories from added sugar. This is equal to about 270 calories. Based on these numbers,

about how many calories do Americans eat each day? Round your answer to the nearest tenth of a calorie.
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
5 0
Given:
13% calories from added sugar
270 calories

To get the total amount of calories, we need to divide the part by its corresponding percentage.

270 calories ÷ 13% = 2,076.92 calories.

=2,076.90 CALORIES
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Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
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The mean and the standard deviation are given, respectively, by:

\mu = 72.6, \sigma = 2.7.

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{74.2 - 72.6}{2.7}

Z = 0.59

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72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

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Z = \frac{X - \mu}{\sigma}

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Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
How would you ESTIMATE 0.9% of 603?
wariber [46]
 0.9<span>% of </span>603<span> = 5.43 
so estimated is 5.40</span>
6 0
3 years ago
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