A new retrieval algorithm is being evaluated using a test database, constructed for that purpose. A single search $($search $\text{'}$A$\text{'})$ of the database retrieved a total of $6,400$ documents, of which $1,129$ pertain to the topic being studied. Several additional searches on the topic of interest were also conducted and these additional searches plus search $\text{'}A\text{'}$ retrieved a total of $7,395$ distinct documents, of which $1,488$ pertained to the topic of interest. The person who constructed the database tells you that there are a total of $10,500$ documents in the database, of which $1,750$ are pertinent to the topic of your search.

a$)$ Calculate the precision of search $\text{'}$A$\text{'}.$ Show all work