What is 12 divided by 8 as a fraction ( please explain)
2 answers:
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Answer:
a)
Step-by-step explanation:
5x - 4 = −2x + 3
-5x - 5x
____________
−4 = −7x + 3
- 3 - 3
_________
−7 = −7x
__ ___
−7 −7
1 = x [Plug this back into both equations above to get the y-coordinate of 1]; 1 = y
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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).