The sample space is: (1, 1); (1, 2) - sum of 3; (1, 3); (1, 4); (1, 5) - sum of 6; (1, 6); (2, 1) - sum of 3; (2, 2); (2, 3); (2, 4) - sum of 6; (2, 5); (2, 6); (3, 1); (3, 2); (3, 3) - sum of 6; (3, 4); (3, 5); (3, 6) - sum of 9; (4, 1); (4, 2) - sum of 6; (4, 3); (4, 4); (4, 5) - sum of 9; (4, 6); (5, 1) - sum of 6; (5, 2); (5, 3); (5, 4) - sum of 9; (5, 5); (5, 6); (6, 1): (6, 2); (6, 3) - sum of 9; (6, 4); (6, 5); (6, 6)
Let the width of the rectangle be x Then length =x-4 Area=x(x-4)=140 x²-4x=140 x²-4x-140=0 x²-14x+10x-140=0 x(x-14)+10(x-14)=0 (x-14)(x+10)=0 Therefore,length=14 cm and width=10 cm
Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:
137 - 16X = Y
Thus, for example, after 5 minutes the calculation would be as follows:
