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Alecsey [184]
3 years ago
6

the coal utility company is burning coal to produce electricity. the following cost function illustrates the cost in dollars (C’

) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100? C=55,000t/100-t for 0
Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

Answer:

Step-by-step explanation:

The cost continues to increase.

elena55 [62]3 years ago
3 0

Answer:

the cost contines to increase

e2020

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The lengths of nails produced in a factory are normally distributed with a mean of 5.02 centimeters and a standard deviation of
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Answer:

The length that separates the top 6% is 5.1 centimeters.

The length that separates the bottom 6% is 4.94 centimeters.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 5.02, \sigma = 0.05

Find the two lengths that separate the top 6% and the bottom 6%.

Top 6%:

The 100-6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555.

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

1.555 = \frac{X - 5.02}{0.05}

X - 5.02 = 1.555*0.05

X = 5.1

So the length that separates the top 6% is 5.1 centimeters.

Bottom 6%:

The 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

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

-1.555 = \frac{X - 5.02}{0.05}

X - 5.02 = -1.555*0.05

X = 4.94

The length that separates the bottom 6% is 4.94 centimeters.

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step-by-step explanation:

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(–23) – 45 – (–98) =–23 – 45 +98=-68+98=30
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