Explanation

To find the number of men, subtract the number of women from the total population:

6753 - 3985 = 2768.

Explanation

A number is divisible by 3 if the sum of its digits is divisible by 3.

2+6+5+9 = 22, which is not divisible by 3, so 2659 is not divisible by 3.

Explanation

To determine the number of significant figures in 0.00253, follow these rules:

• Leading zeros are not significant.
• All non-zero digits are significant.

Breakdown:

0.00253 → The leading zeros (0.00) are not significant.

The digits 2, 5, and 3 are significant.

There are 3 significant figures in 0.00253.

Explanation

Let's check each option:

1. 46656 = 36³

2. 2744 = 14³

3. 6125 = 18.29 (approx.), not a perfect cube of an integer

4. 13824 = 24³

The answer is 6125.

Explanation

1 / (2/3)

= 1 × (3/2)

= 3/2

Explanation

2² × 3² means (2 × 2) × (3 × 3) = 4 × 9 = 36.

The prime factorization of 36 is 2² × 3².

Explanation

13/20 - 7/20 = (13 - 7)/20 = 6/20

Simplifying 6/20 by dividing both numerator and denominator by 2:

6/20 = 3/10.

Explanation

√-1 is represented as "i" (the imaginary unit) in complex numbers.

√-1 × √-1 = i × i = i².

By definition, i² = -1.

Explanation

6³ = 6 × 6 × 6= 216

Explanation