Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a. m. Which sample is the most random? the first 20 students who arrive at school in the morning
all 20 boys on the swim team
5 students out of each of the 4 homeroom classes
the last 20 people in line for breakfast in the cafeteria

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Quadrilateral abcd in the figure below represents a scaled-down model of a walkway around a historic site. quadrilateral efgh represents the actual walkway. abcd is similar to efgh. what is the total length, in feet of the actual walkway?