Adapters are Server side code andare not part of the apk or ipa files.
You can check/confirm this information in Worklight documentation. The details about adapters, under "Developing the server side of a Worklight Application" are at:
http://www-01.ibm.com/support/knowledgecenter/SSZH4A_6.2.0/com.ibm.worklight.dev.doc/devref/c_overview_of_ibm_worklight_adap.html
You can also check the Server Side Development of MobileFirst Platform Getting Started Modules
https://developer.ibm.com/mobilefirstplatform/documentation/getting-started-6-3/server-side-development/
(MobileFirst Platform is the new name of Worklight)
In worklight, you usually have the application (apk/ipa) communicating with a server side component (the adapters) running in a worklight server. The adapters are used to communicate with backend systems (like a mysql server). There are a few different types of adapters to communicate with different types of backends (like sql, http and SAP)
Please, let us know what documentation/guide caused you the understanding that adapters are part of the client apk/ipa. If that is really stated in any documentation, it is wrong and must be corrected.
Edit:
To connect to a MySQL DB (no matter if it is a standalone MySQL or in XAMP, LAMP or whatever package) you can follow this geting started tutorial
https://developer.ibm.com/mobilefirstplatform/documentation/getting-started-6-3/server-side-development/sql-adapter-communicating-sql-database/
Also note that, if you are using MobileFirst Studio (previously Worklight Studio) downloaded for free from Developer Works you have a developer version of the WOrklight Server running inside Studio so that you can create and deploy adapters and use it during development as your server. But when you go to production you are required to purchase licenses of Worklight because you don't have the worklight server available for free.
So if you have Studio, you have the server available but only for development purposes.