Another part of the survey asked participants whether they purchased food at the beach and whether they rented any sporting equipment at the beach. These results are shown in the following two-way relative frequency table. Each value is rounded to the nearest hundredth.

Rented Equipment Did Not Rent Equipment Total
Purchased Food
0.48
0.18
0.66
Did Not Purchase Food
0.25
0.09
0.34
Total
0.72
0.28
1.00

Does there seem to be a relationship between purchasing food and renting equipment?

Write a short paragraph (3 to 5 sentences) to explain whether there is a relationship. Be sure to support your answer with appropriate math vocabulary and reasoning.

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