Chapter 3.1, Problem 28PPS

To determine

The resolve rate of the customer service department.

Answer to Problem 28PPS

  $0.833$

Explanation of Solution

Given:

The customer service department resolved 106 of 120 customer complaints in one hour.

Concept Used:

To convert a fraction into an equivalent decimal, use long division method and divide the numerator by the denominator.

Calculation:

In order to find the resolve rate of the customer service department in one hour, divide the number of complaints resolved by the total number of complaints in one hour.

So, the resolve rate of the customer service department is given by $\frac{106}{120}$ .

Now to find the rate to the nearest thousand, divide the numerator by the denominator using long division as shown below,

  $120\begin{array}{c}\hfill 0.8833\\ \hfill \overline{)\begin{array}{l}106.0000\\ \underset{\_}{000}\\ 1060\\ \underset{\_}{960}\\ 1000\\ \underset{\_}{960}\\ 400\\ \underset{\_}{360}\\ 400\\ \underset{\_}{360}\\ 40\end{array}}\end{array}$

Thus, to the nearest thousand, the resolve rate of the customer service department is $0.833$ .