Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him. He asks, "what is the mean?" Mean = inches. He thinks, "What is the expected distribution about the mean?" ( 38 inches 48 inches 58 inches 68 inches 78 inches 88 inches 98 inches. ) He thinks, " % of the sales will be below 68 inches." But, he needs to know the percentage between 68 and 84 to add to that.So, he calculates a z-score = = , and finds the percentage associated with 1.6 in the table. This is (to the nearest tenth) %. Now Jim knows that % of his sales were 84 inches or less. Therefore, the remaining % were more than 84 inches.

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general 11 months ago 9405

Ahmed and Karnia are building scenery of the Egyptian pyramids out of plywood for a community play. They pyramids are represented by triangles on a rectangular base A.) how many square feet of plywood is in the scenery? Show your workB.) the pyramids (the triangles) will be painted gray, and the base(the rectangle) will be painted black. How much of each paint color will they use, if one quart covers 45 square feet? Only one side of the model needs to be painted, but two coats of paint will be needed. Show your work. Round to the nearest hundredth of a square foot

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general 11 months ago 5554

Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local grocer. Help Arnold decide how much he should cut from each corner of the cardboard to make an open box for moving.Part I: Determining DimensionsArnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with the same size variable cut from each corner. *You don't have to draw one, just explain what it would look like*Part II: Analyze How does each variable expression relate to the length, width, and height of the box when folded? Part III: Extend your Findingsa. Based upon the variables you used in Part II, write a product for the volume. b. Expand the product to write a volume function. c. What domain makes sense for the volume? d. Guess and check values to find the size cut that produces a maximum volume. *Six guesses are required*

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general 11 months ago 3248