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Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
