if the spinner shown is spun 250 times, about how many times will a number greater than 5 be expected? a) 38…

if the spinner shown is spun 250 times, about how many times will a number greater than 5 be expected? a) 38 b) 94 c) 125 d) 156

if the spinner shown is spun 250 times, about how many times will a number greater than 5 be expected? a) 38 b) 94 c) 125 d) 156

Answer

Answer:

B. 94

Explanation:

Step1: Determine favorable outcomes

Numbers greater than 5 are 6, 7, 8. So there are 3 favorable outcomes.

Step2: Calculate total outcomes

The spinner has 8 sections, so total outcomes = 8.

Step3: Find probability

Probability $P=\frac{3}{8}$.

Step4: Calculate expected value

Expected value $E = P\times n$, where $n = 250$. So $E=\frac{3}{8}\times250=\frac{750}{8}=93.75\approx94$.