The distance depends on the time.
So now we need to find the constant of variation or the constant of proportionality.
To do so we must find y(the dependent variable) and x(the independent variable).
To find the constant(k) we must find y/x
Since y/x=k
Then 2.25/.75=k
k=3
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).
Answer:
2
Step-by-step explanation:
Answer:
C. 8
Explanation:
One way to solve this is to find 30% of each class, 28 and 24.
30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2
You can then find the average of these two numbers.
8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
7.8 rounds up to 8
Another way to solve is to first find the average number of people in each class.
28 + 24 = 52
52 ➗ 2 = 26
You can then find 30% of this number.
26 • 0.30 = 7.8
7.8 rounds up to 8