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QuestionTamara spun a spinner 50 times. What fraction of the spinner's area is likely Red if it landed on Red 23 times? A. 150\frac{1}{50} B. 123\frac{1}{23} C. 14\frac{1}{4} D. 12\frac{1}{2}

Studdy Solution

STEP 1

Assumptions1. The arrow was spun50 times. . The number of times the arrow landed on each colored section is given in the table.
3. The probability of the arrow landing on a particular section is proportional to the area of that section.
4. We are trying to find the fraction of the area of the spinner represented by the Red section.

STEP 2

We need to find the total number of times the arrow was spun. This is given as50.

STEP 3

Next, we need to find the number of times the arrow landed on the Red section. From the table, we see that this is23.

STEP 4

The fraction of the area of the spinner that is most likely represented by the Red section is the ratio of the number of times the arrow landed on the Red section to the total number of spins. We can represent this as a fractionNumber of times arrow landed on RedTotal number of spins\frac{\text{Number of times arrow landed on Red}}{\text{Total number of spins}}

STEP 5

Substitute the given values into the equationNumber of times arrow landed on RedTotal number of spins=2350\frac{\text{Number of times arrow landed on Red}}{\text{Total number of spins}} = \frac{23}{50}The fraction of the area of the spinner that is most likely represented by the Red section is 2350\frac{23}{50}.
None of the options A, B, C, D match this result. Therefore, the question might have a typo or the options provided are incorrect.

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