Question

enter the correct answer. the spinner is spun 40 times. how many times would you expect to spin a number greater than 5? ? times

Explanation:

Step1: Determine favorable outcomes

The numbers greater than 5 on the spinner are 6, 7, 8, 9, 10. So there are 5 favorable outcomes out of 10 total outcomes.

Step2: Calculate probability

The probability $P$ of spinning a number greater than 5 is $P=\frac{5}{10}=\frac{1}{2}$.

Step3: Find expected - value

The spinner is spun $n = 40$ times. The expected number of times $E$ to spin a number greater than 5 is $E=n\times P$. Substitute $n = 40$ and $P=\frac{1}{2}$ into the formula: $E = 40\times\frac{1}{2}=20$.

Answer:

20