TIME REMAINING 59:50
The table shows the mean number of basketball goals made by four random samples of players from the school team
during this year's season.
Sample #
Sample Mean
Number of Goals
7
1
4
2
3
5
4
8
Is a valid prediction for the mean of the population possible using these samples?
O No, there are not enough samples.
Yes, the sample means are all less than 10.
Yes, the variation of the sample means is small.
O No, the variation of the sample means is too great.
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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

Answer d; a supplementary angle = 180°, so if that angle = 150°, y would = 30°.