Given a hash table T with 25 slots that stores 2000 elements, the load factor α for T is ________*1 point800.012580001.25

1. Break Down the Problem

To calculate the load factor (α) of a hash table, we need to understand the relationship between the number of elements stored in the table and the number of slots available.

2. Relevant Concepts

The load factor (α) is defined by the formula: $\alpha = \frac{n}{m}$ where:

• $n$ = Number of elements in the hash table
• $m$ = Number of slots in the hash table

3. Analysis and Detail

In this case, we are given:

• $n = 2000$ (the number of elements)
• $m = 25$ (the number of slots)

Plugging in these values into the load factor formula: $\alpha = \frac{2000}{25}$ Calculating this gives: $\alpha = 80$

4. Verify and Summarize

Let's verify the calculation once more:

• We divide $2000$ by $25$. $\frac{2000}{25} = 80$ This confirms our calculation is correct.

Final Answer

The load factor $\alpha$ for hash table T is 80.