A study has shown that the daily amount of milk produced by a dairy cow is
normally distributed, with a mean of 6.2 gallons and a standard deviation of
0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk
within which of the following ranges?

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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