Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. you randomly select 8 employees and ask them if they judge co-workers based on this criterion. the random variable is the number of employees who judge their co-workers by cleanliness. which outcomes of this binomial distribution would be considered unusual?

(a) 0, 1, 2, 3, 8
(b) 0, 1, 2, 7, 8
(c) 1, 2, 3
(d) 0, 1, 2, 3

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