The owner of a craft store wanted to know if her customers prefer oil pastels or chalk pastels. She surveyed groups of 50 customers at a time over a period of 3 days last week. At the end of her survey, she learned that a total of 39 of the customers surveyed prefer chalk pastels.
Using the information gathered, determine whether each statement is true. Select True or False for each statement.
True False
Of her customers surveyed, 74% prefer oil pastels.
An average of 13 customers per group prefer chalk pastels.
If the owner surveys 200 customers next week, she should expect to find 55 who prefer chalk pastels.

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