One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
of any male pitcher at his school, with an ERA of 3.06. Also, Karla had the lowest ERA of any female pitcher at the
school with an ERA of 3.28. For the males, the mean ERA was 5.086 and the standard deviation was 0.998. For
the females, the mean ERA was 4.316 and the standard deviation was 0.558. Find their respective Z-scores.
Which player had the better year relative to their peers, Ron or Karla? (Note: In general, the lower the ERA, the
better the pitcher.)

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

there is no picture in order for this question to be answered