Adifferent types of individuals (k ≥ 2), and let θi denote the proportion of individuals of type i, for i = 1, . . , k. here, 0 ≤ θi ≤ 1 and θ1 + . . + θk = 1. suppose also that in a random sample of n individuals from this population, exactly ni individuals are of type i, where n1 + . . + nk = n. find the m. l.e.’s of θ1, . . , θk.

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.

Which of these tables represents a non-linear function?

Aschool had an election where the candidates received votes in the ratio 1: 2: 3. if the winning candidate received 210 votes, how many total people voted in the election?