Math Problem Statement
((35-372,37299)^22200+(75-372,37299)^23000+(125-372,37299)^212000+(175-372,37299)^225000+(250-372,37299)^230000+(350-372,37299)^228000+(450-372,37299)^216300+(550-372,37299)^23200+(650-372,37299)^210100+(750-372,37299)^29200+(850-372,37299)^25900+(950-372,37299)^22800+(1050-372,37299)^2*1900)/149600
Solution
To solve this expression step-by-step, let's simplify it carefully. We need to compute each term within the summation, then add them up, and finally divide by 149600. Here’s the detailed approach:
Expression
Step 1: Calculate for each term
Calculate each for:
Step 2: Multiply each result by the corresponding coefficient
For each term, after finding , multiply by the weights:
Step 3: Sum all these products
Add the results from Step 2.
Step 4: Divide by 149600
Finally, divide the sum by 149600 to obtain the final result.
Let’s calculate this precisely.The result of the expression is approximately:
Would you like further details on any part of the calculation, or have any questions?
Here are some related questions that might interest you:
- How does changing the denominator affect the result?
- What if we changed the weights in each term—how would that impact the overall sum?
- Why is it necessary to square the difference in each term?
- How would the result change if the constant was different?
- How could this type of calculation be applied in statistics?
Tip: When dealing with large expressions, breaking down each component step-by-step helps prevent errors and ensures accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Statistical Analysis
Squares and Summation
Formulas
Summation of weighted squared differences
Weighted average formula
Theorems
Pythagorean Theorem (as it involves squares of differences)
Statistics: Weighted Mean
Suitable Grade Level
Grades 11-12
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