The whole string was 2.4m. If you take 1/3 of 1/2x, you are just taking 1/6x. You know that what remains is 2m, and that it's the remaining 5/6. So you divide 2 by 5 and multiply that by six to get 2.4.
Area = 1/2 base multiplied by height. I don't think you have the right dimensions. :(
The answer would be A 1. 1/18
There are 4 possible outcomes based on 2 types of wash (deluxe wash & other wash) and 2 vacuum uses (with vacuum and no vacuum). Since customers are equally likely to choose between these, we can run a uniform distribution from 1-4, where each represents one outcome. For example, 1 = deluxe+vacuum, 2=deluxe+no vacuum, 3=other wash+vacuum, 4=other wash+no vacuum. Then after running a large number of simulations (ex. 1000), count the number of the desired result (which is the number 2), and divide by the total number. This will give the probability.
EXPLANATION
If the volume of the cone is of V=448m^3 and it is dilated by a scale factor of 1/4, the resulting volume would be as shown as follows:
