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suter [353]
3 years ago
13

The 4 TH grade is collecting bottled water for field day. They would like to collect 100 bottles. Ava brings 4 packs of 6 and Ma

son brings 3 packs of 12. How many bottles do they still need?
Mathematics
1 answer:
alexira [117]3 years ago
7 0
They still need 40 bottles
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According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
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Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of \mu = 441.84.
  • The standard deviation is of \sigma = 120.
  • The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

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

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

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Step-by-step explanation:

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