Explanation

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

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

Explanation

The circumference of the circle is:

2 × π × r = 2 × π × 15 = 30π m

Distance traveled in 3.5 revolutions:

= 3.5 × 30π

= 105π m

Explanation

Fractional distillation separates liquids based on differences in their boiling points.

It is commonly used for separating components in crude oil and alcohol purification.

Explanation

Explanation

Pandemic means عالمی وباء

Rife means عالمی وباء

Explanation

To evaluate the expression 1/2 + 1/3 - 1/4, we need to find a common denominator. The least common multiple of 2, 3, and 4 is 12.

1/2 = 6/12

1/3 = 4/12

1/4 = 3/12

Now, let's add and subtract:

6/12 + 4/12 - 3/12

= (6 + 4 - 3)/12

= 7/12

Explanation

Given:

sin θ < 0 (sine is negative)

cot θ > 0 (cotangent is positive)

Since cot θ = cos θ / sin θ, and cot θ > 0, we know that cos θ and sin θ must have the same sign (both positive or both negative).

Given sin θ < 0, cos θ must also be negative.

The quadrant where both sine and cosine are negative is the 3rd quadrant.

Explanation

Ray tracing is the method of following individual light rays from an object to the eye (or camera) to simulate how light interacts with surfaces (e.g., reflection, refraction).

It is widely used in computer graphics, optics, and physics to model light paths accurately.

Explanation

Let's denote the two numbers as 2x and 3x, based on the ratio 2:3.

The difference between the numbers is:

3x - 2x = 60

x = 60

Now, find the numbers:

Smaller number = 2x = 2 × 60 = 120

Larger number = 3x = 3 × 60 = 180

The numbers are 180 and 120.

Explanation

The Intuitive Stage (ages 4–7) is the second part of Piaget’s Pre-operational Stage, where children begin to use primitive reasoning and ask many questions.

They start to move beyond egocentric thought and show improved logical thinking, though still limited compared to later stages.