Explanation

13 mod 5 = 3

17 mod 5 = 2

(13 × 17) mod 5 = (3 × 2) mod 5

= 6 mod 5

= 1

Explanation

a = 3, r = 2

5th term:

3, 6, 12, 24, 48

Explanation

The number of ways to choose 2 elements from 5 is 5C2 = 5! / (2! × 3!) = 10.

This represents the combinations where order does not matter.

Explanation

The number of arrangements of 4 distinct books is 4! = 4 × 3 × 2 × 1 = 24.

This represents all possible permutations of the books on the shelf.

Explanation

Mode = 11, Mean = 12

Using:

Mean - Mode ≈ 3(Mean - Median)

12 - 11 = 3(12 - Median)

1 = 36 - 3Median

3Median = 35

Median = 35/3

= 11.67

Explanation

When class frequencies vary widely, weighting each class by its frequency gives a more accurate central tendency.

Weighted mean accounts for differences in data distribution across classes.

Explanation

A mile is a unit of distance.

It is equal to 5,280 feet or exactly 1.609344 kilometers.

1 km = 0.62137119 miles

0.62137119 miles ∼ 0.62 miles

∴ 1 km = 0.62 miles

Additional Information

Miles to Kilometres = Miles × 8/5 (Approximately)

Kilometers to Miles = Km × 5/8 (Approximately)

Explanation

Factors of 48: 2^4 × 3

Factors of 180: 2^2 × 3^2 × 5

Common: 2^2 × 3 = 12

Explanation

4 workers finish in 6 days

1 worker will finish in 4 × 6 = 24 days

3 workers will finish in 24/3 = 8 days

Explanation

The volume of a cube is given by:

V = side³

= 5³

= 5 × 5 × 5

= 125 cm³