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dimulka [17.4K]
3 years ago
11

Can somebody help please? Also there are 10 people :3

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

12

Step-by-step explanation:

adding them altogether

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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
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Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

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Sub r into area:

\text {area = } \pi ( \dfrac{c}{2 \pi } )^2

\text {area = }  \dfrac{\pi c^2}{4 \pi^2 }

\text {area = }  \dfrac{\ c^2}{4 \pi }





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