To be able to determine how many batteries are expected to be defective, we will be applying ratios and proportions:
[tex]\text{ }\frac{1}{14}\text{ = }\frac{x}{400}[/tex]Where,
x = the number of batteries expected to be defective
We get,
[tex]\text{ }\frac{1}{14}\text{ = }\frac{x}{400}[/tex][tex]\text{ }\frac{1\text{ x 400}}{14}\text{ = }x[/tex][tex]\text{ }\frac{400}{14}\text{ = x}[/tex][tex]28.57142857142857\text{ = x}[/tex][tex]\text{ 29 }\approx\text{ x}[/tex]