Use a DecimalFormat, but specify the correct rounding mode. By default it uses ROUND_HALF_EVEN, but ROUND_HALF_UP is common for a lot of financial applications.
If you really want to find and use the rounded value in further calculations (which is unusual because it produces inaccurate results), you can use BigDecimal.
I assume result1 and result2 are String instances.
float value = Float.parseFloat(result1)*0.3F + Float.parseFloat(result2)*0.7F;
BigDecimal d = new BigDecimal(String.valueOf(value));
BigDecimal rounded = d.setScale(1, BigDecimal.ROUND_HALF_EVEN);
The main advantage to using BigDecimal as opposed to multiplying, rounding, and dividing, is that you can select the rounding mode (half-up, half-even, etc.). A BigDecimal is a lot more expensive to manipulate than a primitive float, so this would be a better option for an interactive financial application than a scientific simulation.
You can then use the rounded value as is, or convert it to a float. You can convert to a String with the toString() method, but this is better done with a locale-sensitive DecimalFormat object, which will accept BigDecimal with its format() method.