one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?
1 / 7 of the switches are defective . the defective switches that are not rejected are 1 / 5 * 1 / 7 = 1 / 35 = 3 / 105 of all switches . the non defective switches that are sold are 6 / 7 * 14 / 15 = 84 / 105 of all switches . the percent of switches sold that are defective is 3 / 87 which is about 3.4 % . the answer is b .
multiply(divide(multiply(divide(1, add(const_3, const_4)), inverse(add(const_2, const_3))), add(multiply(divide(subtract(15, 1), 15), divide(add(const_3, const_3), add(const_3, const_4))), multiply(divide(1, add(const_3, const_4)), inverse(add(const_2, const_3))))), const_100)