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Anika [276]
4 years ago
14

Wildfires in the United States covered three and forty-two hundredths million acres one year. The second year, they covered eigh

t and seventy-one hundredths million acres. The three-year total of wildfire acres burned was twenty-one and forty-sixdths acres. How many acres were burned in year three?

Mathematics
1 answer:
enyata [817]4 years ago
7 0
Everything is in million acres, so we can just drop that while we work it out but just remember we have to add it back on at the end of the problem.

First year 3.42
Second year 8.71
Third year ???

Total 21.46

So...

 3.42 + 8.71  + ? = 21.46
12.13 + ? = 21.46
? = 21.46 - 12.13
? = 9.33

The 3rd year 9.33 million acres were burned

*Note I put a ? for the unknown.  I could have used x or y or anything else.
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The parallel line would be y = -x - 6

Step-by-step explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

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3 years ago
An art history professor assigns letter grades on a test according to the following scheme. A: Top 13%13% of scores B: Scores be
amm1812

Answer:

The numerical limits for a B grade is between 81 and 89.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

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B: Scores below the top 13% and above the bottom 56%

Below the top 13%:

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

1.127 = \frac{X - 79.7}{8.4}

X - 79.7 = 8.4*1.127

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Above the bottom 56:

Above the 56th percentile, so above the value of X when Z has a pvalue of 0.56. So above X when Z = 0.15. So

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

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The numerical limits for a B grade is between 81 and 89.

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