The table to the right contains the lists of probabilities for the corresponding numbers of girls in three births. what is the random variable, what are its possible values, and are its values numerical? # of girls p(x). 00.125. 10.375. 20.375. 30.125.

So in the problem, it ask to what are the random variables, what are its possible values and what are its values numerical. So base on the table, for my understanding, the random variables is the number of girls, the possible value is the data in the number of girls which is 0,1,2,3, the numerical value is the P(x). I hope this would help 

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

C. i possibility the answer to this