The theater director offered every member of the drama one vote for which play they preferred to perform. the director found that 3 5 % 35% voted for the oddems family, that 5 7 % 57% voted for thirteenth night, and that 8 % 8% did not vote. in this group, are the events "oddems family" and "thirteenth night" mutually exclusive?

For a research project, a student decided to test the effect of the lead(ii) ion (pb2+) on the ability of salmon eggs to hatch. this ion was obtainable from the water‐soluble salt, lead(ii) nitrate, which the student decided to make by the following reaction. pbo(s) + 2 hno3(aq) → pb(no3)2(aq) + h2o losses of product for various reasons were expected, and a yield of 86.0% was expected. in order to have 5.00 g of product at this yield, how many grams of pbo should be reacted? (assume that sufficient nitric acid, hno3, would be used.)