Derive a boolean function f(x, y, z) that yields a 1 when exactly two of the three input variables are 0.

The notation from analyzing the Karnaugh map is:

F(X,Y,Z) = X'Y'Z + X'Z'Y + Y'Z'X

With logical functions would be:

F(X,Y,Z) = (NOT(X AND Y) AND Z) OR ((NOT Z) AND (X XOR Y))

Step-by-step explanation:

You can reduce the logical function with a Karnaugh map, like the attached, notice the gray coding notation, to assure only one variable change at each cell.

where are the options?

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40