Every platform as a service includes some dynamic language binding and parts implemented in a dynamic language.
The Java-ists have produced mountains of code, but it is still not the go-to for most of industry as they continue to hack in dynamic language features (mixins already replaced AOP so we get Java 8 : First class functions, static methods on interfaces and dynamic behaviors of Java 7). Java has also introduced ways to avoid the bugs that are resulting from the polyglot (Java 8 : Annotations).
Yes the computer deals in strict types at the ASM level, but for programmer productivity, nothing beats dynamic typing except for atoms (Erlang, LISP) aka symbols (Ruby, Scheme). We will get there with more actual science applied.