Ahypercube with side length 1 in d dimensions is defined to be the set of points (x1, x2, xd) such that for all j = 1, 2, d. the boundary of the hypercube is defined to be the set of all points such that there exists a j for which or (namely, the boundary is the set of all points that have at least one dimension in the most extreme 10% of possible values). what proportion of the points in a hypercube of dimension 50 are in the boundary? (hint: you may want to calculate the volume of the non-boundary region) give your answer as a value between 0 and 1 with 3 significant digits.

Acd that is originally priced at $15.85 red-tagged for the sale. what is the sale price of the cd

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3

Adoughnut shop charges $0.50 for each doughnut and $1 for a carryout box. shirley has $10 to spend. which inequality can be used to find d, the number of doughnuts she could have bought if she also wants them in one carryout box?