The chocolate product M&M's is produced with the following seven-step production process, which can make over one hundred million M&M's per day.
1. Liquid chocolate is poured into molds, creating the chocolate core of the M&M's.
2. The chocolate is tumbled to make the chocolate core smooth and round. The chocolate is then given time to harden.
3. A conveyor belt transports the M&M's to the panning operation.
4. At panning, the chocolate cores are rotated and liquid candy is sprayed onto them. Multiple coatings are applied and each coating is
allowed time to dry.
5. Color is added as the final coat. Each batch has a different color and then batches are mixed across colors.
6. The "m" is then stamped onto each M&M by a special machine, avoiding any cracks in the candy shell.
7. A special packaging machine pours the proper amounts of M&M's into the bags and then seals the package. From there, bags are
combined into a carton box.
Before packaging (step 7), the quality of the individual M&M's is evaluated. Pieces are sifted to eliminate misshapen pieces. Missing
imprints, however, are not considered a reject.
A chocolate-loving operations professor has collected a sample of 120 bags of M&M's. The average weight of the bags (chocolate and bag) is
49.9783 grams. The standard deviation across the bags in the sample is 1.037 grams.
1. Assuming a lower specification limit of 47 grams and an upper specification limit of 53 grams, what is the process capability of this
process? How many defects would you expect in one million bags?
2. And, finally, which M&M product in your view has the highest standard deviation?

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?

What percent of 18 is 24? and plz explain thx.

Afunction g(x) has x-intercepts at (, 0) and (6, 0). which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)