The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. which is the joint relative frequency of those in town 2 who take a summer vacation? round the answer to the nearest percent. 7% 10% 25% 75%

T1 = town1
T2 = town2
T3 = town3
S = summer
W = winter
T = total

T1 : S = 567 ; W = 87 ; T = 654
T2: S = 345 ; W = 102 ; T = 447
T3: S = 143 ; W = 158 ; T = 301
T. 1055 ; 347 ; 1402

joint relative frequency of those in Town 2 who take a summer vacation

345 / 1402 = 0.246 or 25%.

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