Let a, b,c be real number such that: (-a/2+b/3+c/6)^3 + (a/3 + b/6 - c/2)^3 + ( a/6 - b/2 + c/3 )^3 = 1/8
Prove that: ( a- 3b + 2c)( a2 + b - 3c )( -3a + 2b +c ) = 9

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.