Christopher recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument Guitar Bass Drums Keyboard # of Students 11 11 4 10 Eighth Grade Students Instrument Guitar Bass Drums Keyboard Based on these results, express the probability that a student chosen at random will play an instrument other than drums as a fraction in simplest form. # of Students 10 7 15 14

Hunter designs two flags for his adventure club. what is the length of the base, x, of the larger flag? enter your answer, as a decimal, in the box.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Even if a person is in very good shape, applying to be a police officer requires commitment to fitness. applicants must pass a physical fitness test. in order to prepare for the test, janet purchases an activity tracker to court her steps. her goal is to walk 10,000 steps each day. she measures heard average step length to be 30 inches. play janet runs, her average steps length increases to 36 in. how many steps would she have to take to run 1 mile 50280 round to the nearest step