Answer:
67.5π m²
Step-by-step explanation:
See the diagram given with the question.
The angle moved by the radius line about the center to cover the shaded region is 300°.
As the radius(r) is known to be 9 m.
So, the area of the full circle is πr² = π × (9)² = 81π m².
Now, to cover the whole circle the radius line has to rotate 360° about the center.
Hence, for rotation of 360° the area obtained is 81π m².
Then for rotation of 300° the area obtained will be m². (Answer)
Given Information:
Mean time to finish 400 meter dash = μ = 65 seconds
Standard deviation to finish 400 meter dash = σ = 2.5 seconds
Confidence level = 95%
Required Information:
95% confidence interval = ?
Answer:
Step-by-step explanation:
In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
The confidence interval for 95% confidence limit is given by
Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.
Therefore, the 95% confidence interval is between 60 to 70 seconds
What does it mean?
It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).