This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The problem asks to calculate the Root Mean Square (RMS) for the given set of numbers: 3, 5, 7, 9. The formula for RMS is given as RMS = sqrt(( x^2)/(n)). Step 1: Identify the given numbers and the count. The numbers are x = \3, 5, 7, 9\. The count of numbers is n = 4. Step 2: Calculate the square of each number. 3^2 = 9 5^2 = 25 7^2 = 49 9^2 = 81 Step 3: Sum the squares of the numbers. x^2 = 9 + 25 + 49 + 81 = 164 Step 4: Substitute the sum of squares and the count into the RMS formula. RMS = sqrt(( x^2)/(n)) = sqrt((164)/(4)) Step 5: Simplify the expression under the square root. RMS = sqrt(41) Step 6: Calculate the square root. RMS ≈ 6.403 The Root Mean Square for the given set of numbers is: 6.403 Send me the next one 📸