To determine the total number of hours Dinesh worked in Week 2, let's break down the given data and add up all the time spent on various activities:
- Meetings: 423 hours
- Administrative: 247 hours
- Project X - Design: [tex]\( \frac{161}{3} \)[/tex] hours
- Project X - Deliverables: [tex]\( \frac{121}{2} \)[/tex] hours
First, compute the values for the fractions:
- [tex]\( \frac{161}{3} \approx 53.666666666666664 \)[/tex] hours
- [tex]\( \frac{121}{2} = 60.5 \)[/tex] hours
Now, add up all the hours:
[tex]\[
\text{Total hours} = 423 + 247 + 53.666666666666664 + 60.5 = 784.1666666666666 \text{ hours}
\][/tex]
Therefore, Dinesh worked a total of 784.1666666666666 hours in Week 2.
There doesn't appear to be a correct answer choice that matches exactly with the calculated total. Therefore, ensure you have the correct answer options provided, or possibly recheck any potential rounding instructions. Based on the precise calculations, none of the choices [tex]\(a, b, c,\)[/tex] or [tex]\(d\)[/tex] matches the provided total hours exactly.