Hello Hal,
You can use Grade calculations.
By the way, if it takes a score of 75% to pass a quiz and 60% to pass the quiz with the lowest score, "Max grades" should be considered rather than "Weights".
In the following example, let's assume that the "Quiz ID numbers" are q1, q2, q3, q4, and q5. Suppose also that the "Max grades" are 10, 50, 20, 100, 30 for quizzes q1, q2, q3, q4 and q5, respectively.
The idea is simple. Use Boolean values to check the different conditions. For example, (q1/10*100)>=75 is equal to 1 if the student's mark is equal to or greater than 75% for quiz 1, or equal to 0 otherwise, (q2/50*100)>=75 is equal to 1 if the student's mark is equal to or greater than 75% for quiz 2 or equal to 0 otherwise, and so on.
The following formula
0.5*((min((q1/10*100), (q2/50*100), (q3/20*100), (q4/100*100), (q5/30*100)))>=60
is equal to 0.5 if the lowest score among the five quizzes is equal to or greater than 60%, or equal to 0 otherwise.
A sum of the Boolean values equal to or greater than 4.5 indicates that the student has passed at least 4 quizzes with a mark of 75% or more , and that he has obtained a mark of 60% or more on the other quiz, in other words that he has completed the course. Otherwise, the student has not fulfilled the conditions.
Now, in the Gradebook setup, add a grade item. Set its name to anything, its ID number to "sumquizzes" and its calculation to:
= ((q1/10*100)>=75) + ((q2/50*100)>=75) + ((q3/20*100)>=75) + ((q4/100*100)>=75) + ((q5/30*100)>=75) + 0.5*((min((q1/10*100),(q2/50*100),(q3/20*100),(q4/100*100),(q5/30*100)))>=60)
Add another grade item. Set its name to "Completion" and set its calculation to:
=if(sumquizzes>=4.5,1,0)
To make sure there won't be any error because of the precision of computer numbers, it might be better to use
=if(sumquizzes>=4.4,1,0)
So, the student has completed the course if the value of the Completion item is equal to 1, and he has not completed the course if the value of the Completion item is equal to 0.
When writing the above two formulas, pay attention to the syntax, especially the number of parentheses.
In summary, just add two grade items with simple calculations.