Does the residual plot confirm that the relation between time between eruptions and length of eruption is linear? If a plot of residuals against the explanatory variable shows a discernible pattern, such as a curve, then the explanatory and response variable may not be linearly related. Click the link provided in the problem statement to view the residual plot. A. No. The plot of the residuals shows no discernible pattern, implying that the explanatory and response variables are not linearly related. B. No. The plot of the residuals shows a discernible pattern, implying that the explanatory and response variables are not linearly related. C. Yes. The plot of the residuals shows a discernible pattern, implying that the explanatory and response variables are linearly related. D. Yes. The plot of the residuals shows no discernible pattern, so a linear model is appropriate.

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

Im pretty sure it’s the first one