You have 12 marbles: 5 are vermillion, 4 are emerald, and 3 are ultramarine. You divide them at random in four groups of 3 to give to your four best friends. Let X be the number of friends that receive 3 marbles of all distinct colors (one marble of each color). Find E(X) and Var(X).

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

What is the solution of log2  (3x  -  7)  =  3? 4 5

He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?