Mariah made a mistake in her calculation. The correct steps to determine about how many times the spinner will land on a number greater than 7 in 250 spins are as follows:
1. Identify the Numbers Greater than 7:
The numbers on the spinner are 1 through 10. The numbers that are greater than 7 are 8, 9, and 10. This gives us a total of 3 numbers.
2. Calculate the Probability of Landing on a Number Greater than 7:
The probability is determined by dividing the number of favorable outcomes (numbers greater than 7) by the total number of sections on the spinner.
[tex]\[
P(\text{number greater than } 7) = \frac{\text{Numbers greater than } 7}{\text{Total number of sections}} = \frac{3}{10} = 0.3
\][/tex]
3. Use the Probability to Predict the Number of Times the Spinner Will Land on a Number Greater than 7:
Multiply the probability by the total number of spins to find the expected frequency.
[tex]\[
\text{Predicted times} = P(\text{number greater than } 7) \times \text{Total number of spins} = 0.3 \times 250 = 75
\][/tex]
So, the correct prediction is that the spinner will land on a number greater than 7 about 75 times out of 250 spins.
Mariah's Mistake:
Mariah incorrectly identified the number of sections greater than 7 as 4 instead of 3 in her numerator. The corrected numerator should be 3, leading to the correct calculation as seen above. Therefore, the correct answer is:
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
