Answer:
When x = 4 and z = 3, y = 4.5.
Explanation:
If y varies directly as x and inversely as z, then we can write the following proportion:
y/x = k/z
where k is the constant of proportionality. We can solve for k using the given values:
6/5 = k/2
k = 12/5
Now we can use this value of k to find y when x = 4 and z = 3:
y/4 = (12/5)/3
y/4 = 4/5
y = (4/5) * 4
y = 3.2
Therefore, when x = 4 and z = 3, y = 4.5.