Will give the box plots below show the math scores of students in two different classes: class a 55 72 75 89 95 class b 55 70 75 94 100 based on the box plots, which statement is correct? a: the median score of class a is greater than the median score of class b. b: the lower quartile of class a is greater than the lower quartile of class b. c: the upper quartile of class a is greater than the upper quartile of class b. d: the maximum score of class a is greater than the maximum score of class b.

B

Step-by-step explanation:

1. Class A:

the median is 75;the lower quartile is 72;the upper quartile is 89;the maximum score is 95.

2. Class B:

the median is 75;the lower quartile is 70;the upper quartile is 94;the maximum score is 100.

A. The median score of Class A is equal to the median score of Class B (75=75). This option is false.

B. The lower quartile of Class A is greater than the lower quartile of Class B. True option (72>70).

C. The upper quartile of Class A is greater than the upper quartile of Class B. False, because 89<94.

D: The maximum score of Class A is greater than the maximum score of Class B. False, because 95<100.

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