Answer:
Area of given figure = 37.68 unit²
Step-by-step explanation:
Given:
Radius of given shape = 4 unit
Angle = 270°
Value of π = 3.14
Find:
Area of given figure
Computation:
Area of given figure = [Ф/360][πr²]
Area of given figure = [270/360][(3.14)(4)²]
Area of given figure = [0.75][(3.14)16]
Area of given figure = [0.75][50.24]
Area of given figure = 37.68 unit²
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).
The first one because it goes through pretty much all the points on the graph.
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Add 8 to 25 which equals 33. then divide by -3 so y= -11