The shuffleboard diagram has a scale of 1cm : 1ft. Use the provided ruler to find the actual area of the red region.​

Calculate the mean value (expected value) of the following discrete variable x (10 points): x = 0, 1, 2, 3, 4, 5, 6 p(x) = 0.2, 0.2, 0.15, 0.15, 0.15, 0.1, 0.05

Three consecutive even numbers have a sum between 84 and 96. a. write an inequality to find the three numbers. let n represent the smallest even number. b. solve the inequality. a. 84 ≤ n + (n + 2) + (n + 4) ≤ 96 b. 78 ≤ n ≤ 90 a. 84 < n + (n + 2) + (n + 4) < 96 b. 26 < n < 30 a. 84 < n + (n + 1) + (n + 2) < 96 b. 27 < n < 31 a. n + (n + 2) + (n + 4) < –84 or n + (n + 2) + (n + 4) > 96 b. n < –30 or n > 31

Each weekday davina rides her bike from her house to school. after school, she rides to the library. then davina takes the same route to get home. these locations are shown on the grid below, where 1 unit on the grid represents 1 kilometer. how many kilometers does she ride each day? 10 16 20 32