### Let x represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. What are the possible values of X?

The aim of this question is to understand the key concept of a random variable using the coin toss experiment which is the most basic binomial

### Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

The purpose of this question is to prove that $n$ is a positive and even integer if and only if $7n + 4$ is also even. Even numbers can be equally

### A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground.

When he is $10$ feet from the base of the light, at what rate is the tip of his shadow moving? When he is $10$ feet from the base of the light, at

### Determine whether the equation represents y as a function of x. x+y^2=3

This question aims to identify whether the given equation represents a function or not. A function is an interpretation, principle, or rule in

### Find the parametric equation of the line through a parallel to b.

(a=begin{bmatrix}3\-4end{bmatrix}, b=begin{bmatrix}-7\8end{bmatrix}) This question aims to find the parametric equation of the line through two given