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you spin the spinner once. what is p(less than 5 or factor of 35)? writ…

Question

you spin the spinner once. what is p(less than 5 or factor of 35)? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: List numbers less than 5

The numbers less than 5 on the spinner are 0, 2, 3, 4.

Step2: List factors of 35

The factors of 35 are 1, 5, 7. The numbers on the spinner that are factors of 35 are 5, 7.

Step3: Find the union

The set of numbers that are less than 5 or a factor of 35 is {0, 2, 3, 4, 5, 7}. There are 6 such numbers.

Step4: Calculate probability

The spinner has 8 sections in total. The probability $P$ is $\frac{6}{8}= 0.75$.

Step5: Convert to percentage

$0.75\times100\% = 75.0\%$

Answer:

75.0%