Scores on a standardized test are normally distributed with a mean of 228 and a standard deviation of 18. students who score at least 2.3 standard deviations above the mean receive a certificate.

what is the minimum score required to receive the certificate?

270

Step-by-step explanation:

The mean is 228 and the standard deviation is 18.

2.3 standard deviations above the mean is:

228 + 2.3×18

228 + 41.4

269.4

Since scores are usually integers, we round up to 270.

step-by-step explanation:

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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.

step-by-step explanation: