A spinner has five regions numbered 1 through 5. If the spinner is spun 100 times, we would expect about 20 of the outcomes to be Region 1. It can be determined that the spinner is unbalanced if x, the number of outcomes that result in Region 1, satisfies
x-20/4 ¡Ý 1.645. Describe the number of outcomes that determine an unbalanced spinner that is spun 100 times.
How would i set this up?
To determine the number of outcomes that would result in an unbalanced spinner, we need to solve the inequality x - 20/4 ≥ 1.645.
First, let's simplify the inequality:
x - 5 ≥ 1.645
Next, let's isolate x:
x ≥ 1.645 + 5
x ≥ 6.645
Since x represents the number of outcomes that result in Region 1, in order for the spinner to be considered unbalanced, we need to have at least 6.645 (which we'll round up to 7) outcomes in Region 1.
Therefore, if the number of outcomes that result in Region 1 is 7 or more when the spinner is spun 100 times, then the spinner can be considered unbalanced.