Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
Answer:
The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon.
Step-by-step explanation:
Given as :
The Distance of marathon = 26.2 unit
The time taken to complete marathon = 2 hours and 15 minutes
= 120 + 15 = 135 minutes
Let The constant speed of Usain Bolt = S unit per minutes
So, Speed = 
Or, S = 
∴ S = 0.194 unit per minutes
Hence The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon. Answer
If the square perimeter is 8y, then the square side would be:
square perimeter= 4*side
8y= 4*side
side=2y
The square garden side is 3m shorter than the length of the rectangle garden. The rectangle garden length will be:
rectangle length= square sides +3
rectangle length= 2y+3
rectangle perimeter= 2(rectangle length + rectangle side)
rectangle perimeter= 2(2y+3 + 2y+1)
rectangle perimeter= 2(4y+4)
rectangle perimeter= 8y + 8
C = 2πr Divide both sides by 2r
= π Switch the sides to make it easier to read
π = <span>
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