A software developer is compressing medical imaging data using a new algorithm. The original dataset is 4.2 terabytes. The first compression reduces size by 40%, and the second reduces the result by 25%. What is the final size in terabytes?

Sun, 03 May 2026 14:24:45 +0000

Title: Revolutionizing Medical Imaging: New Algorithm Compresses 4.2 TB Dataset in Two Stages Medical imaging generates massive datasets—often in the terabytes—posing significant challenges in storage, transfer, and analysis. In a groundbreaking development, a new software development approach compresses crucial imaging data with remarkable efficiency. Here’s how it works: starting from a massive 4.2 terabytes, the first stage of compression reduces the size by 40%, and the second stage cuts the resulting data by an additional 25%. Let’s break down how this compression transforms the dataset into a more manageable size. ### First Compression: 40% Reduction