There is a 30% chance that you will be elected president of the history club. There is a 20% chance that your friend will be elected treasurer of the history club. You use a random number generator to randomly generate 50 numbers from 0 to 99. The results are shown in the table below. The digits 1, 2, and 3 in the tens place represent you being elected president. The digits 1 and 2 in the ones place represent your friend being elected treasurer. What is the experimental probability that you are elected president and your friend is elected treasurer? Write your answer as a fraction in simplest form.

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

I’m a smart person so that’s why i think it was 6