Explanation

A probability of 1 means that the event is certain to occur.

Probability ranges from 0 (impossible) to 1 (certain).

Explanation

Given:

Hyder’s investment = Rs. 90,000

Ahsan’s investment = Rs. 60,000

Total profit = Rs. 45,000

Step 1: Find the ratio of their investments

Hyder : Ahsan = 90,000 : 60,000 = 3 : 2

Step 2: Divide the profit in the ratio 3:2

Total parts = 3 + 2 = 5

Ahsan’s share = (2/5) × 45,000 = Rs. 18,000

Explanation

Given the matrix:

[4 -9]

[-1 2]

The determinant is calculated as:

(4 * 2) - (-9 * -1)

= 8 - 9

= -1

Explanation

Given w⁻¹³ = w², let's assume a cyclic pattern:

If w¹⁵ = 1, then w⁻¹³ = w² fits the pattern w⁻¹³ = w^(15-13) = w².

Explanation

Given 0 ≤ A ≤ 90°, we're looking at the first quadrant of the unit circle where sine values range from 0 to 1.

The minimum value of sin A in this range occurs when A = 0°:

sin(0°) = 0

Explanation

Total work = 14 men × 12 hours = 168 man-hours

Time for 10 men = 168 ÷ 10 = 16.8 hours

So, 10 men will take 16.8 hours to paint the masjid.

Explanation

A square has four equal sides, so the perimeter is 4 times one side.

If L is the length of a side, then Perimeter = 4L.

Explanation

Factors are numbers that divide 16 exactly with no remainder.

16 ÷ 1 = 16, ÷2 = 8, ÷4 = 4, ÷8 = 2, ÷16 = 1.

Explanation

Given the sequence formula:

an = 3n + 5

To find the 7th term, substitute n = 7:

a7 = 3(7) + 5

= 21 + 5

= 26

Explanation

To find the square root:

√2.56 = √(256/100)

= √(16^2 / 10^2)

= 16/10

= 1.6