Dimitris Bertsimas, Allison O'Hair, and Sanjay Sarma issued a verified certificate to Rasha Ragab Ahmed Awad for successfully completing the online course 15.071x: The Analytics Edge through MITx and edX. The certificate verifies that Rasha Ragab Ahmed Awad received a passing grade in the course of study offered by the Massachusetts Institute of Technology's online learning initiative.

1. Boeing Leaders for Global Operations Professor of
Management, Operations Research and Statistics
Co-Director of the Operations Research Center
MIT Sloan School of Management
Dimitris Bertsimas
Lecturer, Operations Research and Statistics
MIT Sloan School of Management
Allison O’Hair
Director of Digital Learning
Massachusetts Institute of Technology
Sanjay Sarma
VERIFIED CERTIFICATE Verify the authenticity of this certificate at
CERTIFICATE
ACHIEVEMENT
of
VERIFIED
ID
This is to certify that
Rasha Ragab Ahmed Awad
successfully completed and received a passing grade in
15.071x: The Analytics Edge
a course of study offered by MITx, an online learning
initiative of The Massachusetts Institute of Technology through edX.
Issued May 28, 2015 https://verify.edx.org/cert/1fa49d0df1ba473c8afc91a281d7487a