Sample space is the set of possible outcomes of an experiment. 1. <span>Tossing a coin three times There are possible outcomes. Tossing the coin for the first time it can be a haid (H) or a tail (T). So, we can have this outcomes: HHH HHT HTH THH TTH THT TTT total: 6 outcomes 2. </span><span>The order that the top 5 students will receive their diplomas. Here we need to find the number of permutations: 5!=5*4*3*2*1=120 3. </span><span>Tossing a pair of dice The possible outcomes are the following: (a,b), where a is the first dice and b is the second dice </span>(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) , total 36 possible outcomes.
A. You would first plot the y intercept. The first equation would be (0,-8) and the second equation is (0,-11). Then you would plot the slope. For the first equation, from (0,-8), you would move up 3 plots and right 1 plot. For the second equation, from (0,-11), you would move up 9 plots and right 1 plot.
B. The solution to the pair of inequalities is (1/2, -13/2). That is the intersection and point of the two lines. You would need to graph the two lines (see part A answer) and then find the intersection.
