Aconsumer products company is formulating a new shampoo and is interested in foam height (in millimeters). foam height is approximately normally distributed and has a standard deviation of 20 millimeters. the company wishes to test latex: h_{0} =\mu =175h0==175 millimeters versus latex: h_{1} =\mu > 175h1=> 175 millimeters, using the results of n samples. find the boundary of the critical region if the type i error probability is latex: \alpha =0.=0.05 and n=4

The system of equations graphed below has how many solutions?

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.