The national institute of standards and technology (nist) supplies "standard materials" whose physical properties are supposed to be known. for example, you can buy from nist a liquid whose electrical conductivity is supposed to be 5. (the units for conductivity are microsiemens per centimeter. distilled water has conductivity 0.5.) of course, no measurement is exactly correct. nist knows the variability of its measurements very well, so it is quite realistic to assume that the population of all measurements of the same liquid has the normal distribution with mean μ
μ
equal to the true conductivity and standard deviation σ
σ
= 0.2. here are 6 measurements on the same standard liquid, which is supposed to have conductivity 5:
5.32 4.88 5.10 4.73 5.15 4.75
nist wants to give the buyer of this liquid a 90% confidence interval for its true conductivity. what is this interval?

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

The slope best fit isc. 1/6 mile per hour

Anyone can me with these answers