3. Share the following quantities in the given ratios:
(a) $20 in the ratio 1:4.
(b) 150 rubber bands in the ratio 3:7.
(c) 5.76 m in the ratio 7: 2.
(d) 80 millilitres in the ratio 5.3.
(e) $960 in the ratio 3:5:4.

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How many different triangles can be constructed with the angle measurements of 134° 10° and 36° ?

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297