A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. What is the catch? There can be at most one output for every input.
Answer:
formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.
1. Plug in center coordinates into formula
(x-3)^2 + (y-(-6))^2 = r^2
2. Plug in radius value
(x-3)^2 + (y-(-6))^2 = 5^2
3. Simplify:
(x-3)^2 + (y+6)^2 = 25
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Answer:
The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
Step-by-step explanation:
To solve this question, we use the central limit theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
In this problem, we have that:
The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
