Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Let's carefully analyze the problem step-by-step to identify if Mariah made a mistake and, if so, what that mistake is.
### Step 1: Identify the Numbers Greater Than 7
The spinner has the numbers 1 through 10. We need to figure out how many of these numbers are greater than 7. The numbers greater than 7 are:
- 8
- 9
- 10
Thus, there are 3 numbers greater than 7.
### Step 2: Calculate the Probability
Mariah needs to calculate the probability of the spinner landing on a number greater than 7. The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Therefore,
[tex]\[ P(\text{number greater than 7}) = \frac{\text{Number of numbers greater than 7}}{\text{Total number of sections}} = \frac{3}{10} \][/tex]
### Step 3: Determine the Expected Number of Spins
Mariah wants to know how many times the spinner will land on a number greater than 7 out of 250 spins. The expected number of spins for a particular outcome is calculated using the formula:
[tex]\[ \text{Expected number of spins} = P(\text{number greater than 7}) \times \text{Total number of spins} \][/tex]
Substituting the numbers we have:
[tex]\[ \text{Expected number of spins} = \left(\frac{3}{10}\right) \times 250 = 0.3 \times 250 = 75 \][/tex]
### Analysis of Mariah's Work
Mariah's calculation is shown as:
[tex]\[ P(\text{number greater than 7}) = \frac{\text{Number of numbers greater than 7}}{\text{Total number of sections}} \times \text{Number of spins} = \frac{4}{10}(250) = 100 \][/tex]
### Step 4: Identify the Mistake
The correct number of numbers greater than 7 is 3, not 4. Mariah mistakenly used 4 as the numerator in her probability calculation. Therefore, her mistake is that she should have used 3 in the numerator because there are 3 numbers greater than 7: 8, 9, and 10.
### Conclusion
The correct options given the mistake analysis are:
- Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
So, the correct identification of Mariah's mistake is:
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
### Step 1: Identify the Numbers Greater Than 7
The spinner has the numbers 1 through 10. We need to figure out how many of these numbers are greater than 7. The numbers greater than 7 are:
- 8
- 9
- 10
Thus, there are 3 numbers greater than 7.
### Step 2: Calculate the Probability
Mariah needs to calculate the probability of the spinner landing on a number greater than 7. The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Therefore,
[tex]\[ P(\text{number greater than 7}) = \frac{\text{Number of numbers greater than 7}}{\text{Total number of sections}} = \frac{3}{10} \][/tex]
### Step 3: Determine the Expected Number of Spins
Mariah wants to know how many times the spinner will land on a number greater than 7 out of 250 spins. The expected number of spins for a particular outcome is calculated using the formula:
[tex]\[ \text{Expected number of spins} = P(\text{number greater than 7}) \times \text{Total number of spins} \][/tex]
Substituting the numbers we have:
[tex]\[ \text{Expected number of spins} = \left(\frac{3}{10}\right) \times 250 = 0.3 \times 250 = 75 \][/tex]
### Analysis of Mariah's Work
Mariah's calculation is shown as:
[tex]\[ P(\text{number greater than 7}) = \frac{\text{Number of numbers greater than 7}}{\text{Total number of sections}} \times \text{Number of spins} = \frac{4}{10}(250) = 100 \][/tex]
### Step 4: Identify the Mistake
The correct number of numbers greater than 7 is 3, not 4. Mariah mistakenly used 4 as the numerator in her probability calculation. Therefore, her mistake is that she should have used 3 in the numerator because there are 3 numbers greater than 7: 8, 9, and 10.
### Conclusion
The correct options given the mistake analysis are:
- Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
So, the correct identification of Mariah's mistake is:
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.