On a rectangular piece of cardboard with perimeter 19 inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded along the creases to make a rectangular box with open ends (see Figure 2). Letting x represent the distance (in inches) between the creases, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. x/ x Figure 1 Figure 2 Value of x that maximizes volume : in in Mayimum volume : Save For Later Submit Ass

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Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let x represent the number of wolves in an extended pack and y represent the size of the hunting region in km2/1000. The following data are representative of one of the national parks. x wolves 29 37 22 61 94 y km2/1000 7.35 12.18 8.15 15.39 16.81 (a) Verify that Σx = 243, Σy = 59.88, Σx2 = 15,251, Σy2 = 788.2256, Σxy = 3362.04, and r ≈ 0.9135. Σx   Σy   Σx2   Σy2   Σxy   r   (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t   critical t     (c) Verify that Se ≈ 1.9804, a ≈ 5.5942, and b ≈ 0.13131. Se   a   b