Question

you spin the spinner once.
what is p(divisor of 30)?
write your answer as a percentage.
%

Explanation:

Step1: Identify divisors of 30

The numbers on the spinner are 1, 2, 3. Let's check which are divisors of 30.

• \( 30 \div 1 = 30 \), so 1 is a divisor.
• \( 30 \div 2 = 15 \), so 2 is a divisor.
• \( 30 \div 3 = 10 \), so 3 is a divisor.

All three numbers (1, 2, 3) are divisors of 30.

Step2: Determine total sections

The spinner has 3 sections (labeled 1, 2, 3).

Step3: Calculate probability

Probability \( P(\text{divisor of 30}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{3} = 1 \).

Step4: Convert to percentage

To convert to a percentage, multiply by 100: \( 1 \times 100 = 100\% \).

Answer:

\( 100\% \)