The price p of a good and the quality q of a good are linked. the demand for a new pair of trainers can be modelled using the equation p= (-3/4)q+35 the supply of trainers can be modelled using the equation p= (2/3)q+1. they meet on the same pair of axes. the equilibrium point is the point whereto supply and demand lines meet find the values of p and q at the equilibrium point.

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

Acomputer store bought a program at a cost of $10 and sold it for $13. find the percent markup

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).