In a bottle-filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a
standard deviation of .02 oz. Bottles containing less than 15.95 oz do not meet the bottler’s quality standard. What percentage of filled bottles do not meet the standard?
We know that the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of .02 oz. The z-score associated to 15.95 is (15.95-16)/.02 = -2.5. Bottles containing less than 15.95 oz do not meet the bottles' quality standard, we compute the percentage of filled bottles that do not meet the standard using the z-score -2.5 and P(Z < -2.5) = 0.0062. Therefore, the percentage of filled bottles that do not meet the standard is 100(0.0062) = 0.62
When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.
So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).
Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.
No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.