The coordinates of the points p and q are (1,-2) and (4,10) respectively. a point t divides the line pq in the ratio 2: 1 . determine the coordinates of t.

(3,6)

Step-by-step explanation:

since T divides the line  into two parts, with one part two times as large as the small part, you can look at it as dividing the line into three small parts.  let me know if you need more explanation on that.

This makes T be at 2/3 down the line.  because 2/3 is twice 1/3.  This means the x and y coordinates are 2/3 between the x values of the two points, and the y values of the two points.  

Another way of saying this is for x, it goes from 1 to 4, which is a length of 3.  what is 2/3 of 3?  2, so T's x value is at 2.  Similarly for y -2 to 10 is 12 spaces and 2/3 along that is 8, so the y value is 8.  Again, let me know if you need more of an explanation.  

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: