3. There is an equally likely chance that a falling dart will land anywhere on the rug below. The following system is used to find the number of points the player wins.
What is the expected value for the number of points won?
TE
Black = 40 points
Gray = 20 points
White = 0 points

bhiuby hi ugvyuv67hiuvg

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: