In a particular year, the mean score on the ACT test was 18.7 and the standard deviation was 2.7. The mean score on the SAT mathematics test was 540 and the standard deviation was 101. The distributions of both scores were approximately Bell shaped. Round the answers to at least two decimal places.

15 batches are the most you can make

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: