Answer
There will be $1$ trial; $(1,0.5)$
Work Step by Step
Set $P$ in the given formula equal to $0.95$. Multiply the denominator on both sides, and distribute all the terms and combine. Then isolate the $x$-term on one side and divide to solve.
$0.5=\frac{0.9x-0.4}{0.9x+0.1}$
$0.5(0.9x+0.1)=(\frac{0.9x-0.4}{0.9x+0.1})(0.9x+0.1)$
$0.5(0.9x+0.1)=0.9x-0.4$
$(0.5)(0.9x)+(0.5)(0.1)=0.9x-0.4$
$0.45x+0.05-0.45x=0.9x-0.4-0.45x$
$0.05=0.45x-0.4$
$0.05+0.4=0.45x-0.4+0.4$
$0.05+0.4=0.45x$
$0.45=0.45x$
$x=1$
