As in an earlier exercise, we assume that the random variables θ and x are described by a joint pdf which is uniform on the triangular set defined by the constraints 0≤x≤1 , 0≤θ≤x . a) find an expression for the conditional mean squared error of the lms estimator given that x=x , valid for x∈[0,1] . express your answer in terms of x using standard notation.

The vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation

Solve each quadratic equation by factoring and using the zero product property. [tex]x^2+6x+8=0[/tex]

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)