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A cube has a sphere inscribed inside of it. It has another sphere circumscribed on the outside ot if (it being the cube). What is the ratio of the volume of the inside sphere to the volume of the outside sphere?
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
A computer programming team has 12 members. How many ways can a group of 7 (out of the 12 members) be chosen to work on a special project? Explain.
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
Fishing and Probability. Last week, Pat caught n distinct fish from Lake Nebagamon, but threw all of them back at the end of the fishing trip. Next week, Pat will go fishing again at the same place,
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Construct a truth table for given relation - Construct a truth table for each of the following
Probability: Problems and Solutions, How many ways are there of drawing a red, a black, and a green ball from a bucket with 2-Red, 2-Black, and 5-Green balls?
Determine the multiple integral under given condition using spherical coordinate - Determine the following triple integral by converting it to an appropriate coordinate system and integrating.
Find the perimeter of the rectangle - the perimeter and then evaluate the perimeter polynomial If x is 4 feet.
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
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