The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3 1. Substitute 32 3 into the volume formula for V: 32 3 π = 4 3 πr3 2. Multiply both sides of the equation by 3 4 : 8π = πr3 3. Divide both sides of the equation by π. 8 = r3 4. Take the cube root of both sides: 3√8 = r

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to