3points lie on an xy plane, with each point representing where a particular person lives. amy lives at point (2,3); brian lives at point (0,7); and claire lives at point (-2,3). they all wish to meet up with each other for lunch, but at a location that is equidistant from each of their respective houses. at what point do they meet?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b

Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000