General Machines Company is hiring new employees. The positions require some basic arithmetic skills, but the company is worried that the work is not challenging enough to keep highly skilled individuals interested. Therefore, they administer a screening test to all job applicants and decide to eliminate from consideration anyone scoring in the bottom or top 15%. If scores are normally distributed with a mean of 40 and a standard deviation of 8, what are the two scores that applicants must score in between in order to be considered for the positions?
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