Solve the problem.
-A spinner has ten regions numbered 1 through 10. If the spinner is spun 100 times, we would expect about 10 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 $\left| \frac { x - 10 } { 3 } \right| \geq 1$.645. Describe the number of outcomes that determine an unbalanced spinner that is spun 100 times.
A) Fewer than 6 or more than 14 outcomes
B) Between 6 and 14 outcomes
C) Fewer than 9 or more than 17 outcomes
D) Between 9 and 17 outcomes

Question

Quizplus · Accepted Answer

The inequality $\left| \frac { x - 10 } { 3 } \right| \geq 1.645$ can be solved to find the values of $x$ that indicate an unbalanced spinner. Solving the inequality gives $x < 10 - 1.645(3)$ or $x > 10 + 1.645(3)$, which simplifies to $x < 5.065$ or $x > 14.935$. Therefore, the spinner is considered unbalanced if the number of outcomes that result in Region 1 is fewer than 6 or more than 14.

Solve the Problem xxx , the Number of Outcomes That Result in Region 1

Solve the Problem $x$ , the Number of Outcomes That Result in Region 1