Four ingredients are blended to make a final product. Using the data below, what is the expected weight and variation of the final product?
Ingredient A 70 3.00 grams -
Ingredient B 20 1.73 grams -
Ingredient C 15 1.73 grams -
Ingredient D 10 - 1.00 grams -
To determine the expected weight and variation of the final product, we need to sum the weights of all ingredients and then calculate the combined standard deviation. The total weight is the sum of each ingredient's weight: 70 + 20 + 15 + 10 = 115 grams. The combined standard deviation can be calculated using the variance of each ingredient. Variances are the standard deviations squared: 3.00^2 for A, 1.73^2 for B, 1.73^2 for C, and 1.00^2 for D. Adding these variances: 9 + 3 + 3 + 1 = 16, and taking the square root gives 4.00. Therefore, the correct answer is 115 ± 4.00 grams.
Yes acceptable