Final answer:
Bluetooth is the wireless transmission standard that allows for short-range connections between mobile computing devices and peripherals, operating on the 2.4-GHz frequency band and widely used for devices like headphones and hands-free systems.
Step-by-step explanation:
The wireless transmission standard that lets you connect mobile computing devices to peripheral devices over short distances is Bluetooth. This technology operates in the 2.4-GHz frequency band and is commonly used to connect devices such as headphones, speakers, and hands-free car systems to your mobile devices. Bluetooth has become a popular choice due to its ease of use and widespread adoption in a multitude of personal and professional applications.