To solve this problem, let's use the information given:
- Alisha observed that the spinner landed on green 7 times.
- The experimental probability of landing on green is [tex]\(\frac{1}{5}\)[/tex].
Let's denote the total number of trials by [tex]\( T \)[/tex].
The experimental probability is calculated as the ratio of the number of successful outcomes (landing on green) to the total number of trials:
[tex]\[
\text{Experimental Probability} = \frac{\text{Number of Successful Outcomes}}{\text{Total Number of Trials}}
\][/tex]
Given that the experimental probability is [tex]\(\frac{1}{5}\)[/tex] and the number of successful outcomes is 7, we can set up the following equation:
[tex]\[
\frac{1}{5} = \frac{7}{T}
\][/tex]
To find [tex]\( T \)[/tex], we need to solve for [tex]\( T \)[/tex]. We can do this by cross-multiplying to get:
[tex]\[
1 \cdot T = 5 \cdot 7
\][/tex]
Simplifying the right-hand side, we get:
[tex]\[
T = 35
\][/tex]
Therefore, the total number of trials Alisha performed is:
[tex]\[
\boxed{35}
\][/tex]
