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Verified Answer :

\(z=\dfrac{40-43.8}{8.7}\approx-0.4368\)

Answer:

-0.44

Step-by-step explanation:

Given a mean of 43.8 and a standard deviation of 8.7

\(z-score =\frac{x-mean}{standard deviation}\)

mean = 43.8

standard deviation = 8.7

now plug in the values of mean and standard deviation

x= 40

\(z-score =\frac{40-43.8}{8.7}\)

\(z-score =\frac{-3.8}{8.7}\)

z-score = -0.44