Math Problem Statement

According to the EPA , in a typical wetland environment, 38% of the water is outflow; 47% is seepage; 7% evaporates; and 8% remains as water volume in the ecosystem.  (EPA Case Studies Report 832-R-93-005)

Chloride compounds as residuals from residential areas are a problem for wetlands.  Suppose that in a particular wetland environment the following concentrations (mg/l) of chloride compounds were found: outflow, 64.1; seepage, 75.8; remaining due to evaporation, 23.9; in the water volume, 68.2.

Find the mean chlorine compound concentration (mg/l) for this ecological system.

State the answer only and no additional work.  Do not label the answer.

Do not round the final answer.

Hint:  Find the weighted mean.

Solution

67.113

Would you like further details or have any questions?

Here are 5 related questions you might explore:

  1. How would the weighted mean change if the concentration of chloride in seepage increased?
  2. Can you compare the weighted mean with an arithmetic mean for this set of data?
  3. How does seepage impact the mean concentration compared to evaporation?
  4. What is the significance of weighted means in environmental studies?
  5. How could reducing chloride in outflow improve the overall ecosystem health?

Tip: Weighted means are useful when different components have varying levels of influence on a system, like water flows in wetlands.

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Math Problem Analysis

Mathematical Concepts

Weighted Mean
Environmental Mathematics

Formulas

Weighted Mean Formula: (Σ(weight × value)) / Σ(weights)

Theorems

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Suitable Grade Level

Grades 10-12