Final answer:
The probability (P) of spinning a number that is a factor of 80, with the spinner having the numbers 6, 7, 8, and 9, is 1/4.
Step-by-step explanation:
The question asks for the probability (P) that spinning the spinner once will land on a number that is a factor of 80. First, we need to identify the potential outcomes on the spinner (assumed to be 6, 7, 8, and 9 based on the typo '6789'), and then determine which of these numbers are factors of 80.
The factors of 80 from the numbers provided are 8 only. Thus, only one event (landing on 8) out of the four possible outcomes on the spinner is a factor of 80.
Probability can be calculated by dividing the number of favorable outcomes (1 since only 8 is a factor of 80) by the number of possible outcomes (4 - assuming the spinner includes the numbers 6, 7, 8, and 9). So, P(factor of 80) = ⅓.