Question

50 points



Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.

P (number greater than 7) = StartFraction Number greater than 7 over Total number of sections EndFraction times number of spins = StartFraction 4 over 10 EndFraction (250) = 100.

What mistake did Mariah make, if any?
Mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.
Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
Mariah should multiply by the number of sections in the spinner rather than the total number of spins.
Mariah calculated the prediction correctly and did not make any mistakes.

Answer 1

Answer:

The mistake is described by the second choice:

• Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7

Explanation:

This is the work described:

1. P (number greater than 7) = (Number greater than 7 / Total number of sections) × the number of spins

This is correct.

First  it correctly describes the theoretical probability of landing on a number that is greater than 7, in one spinning because the numbers greater than 7 is the favorable outcomes and the total number of sections is the number of different possible outcomes.

Next it multiplies by the number of spinnins (250), which is correct because it agrees with the fact that the expected value is the mean (probability) multiplied by the number of times the experiment is performed.

Then, the first choice, "it should be the total number of sections over the numbers greater than 7" is false:

2. Number of spins = (4 / 10)  (250) = 100.

This step has an error.

The numerator of your fraction must be the number of sections that are greater than 7.

Thus, determine which sections contain a number greater than 7. Those are 8, 9, and 10.

Hence, there are 3 sections that are greater than 7. Hence, it is incorrect to use 4 in the numerator, and the true choice is second one: "Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7".

Answer 2

Answer:

The answer is (B)

Step-by-step explanation:

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