Understanding Random Variables in Probability A random variable is a fundamental concept in probability and statistics. Essentially, a random variable is a variable whose value is subject to variations due to chance (i.e., randomness). It is used to quantitatively represent the outcomes of a random phenomenon and to associate numerical values with these outcomes. Breaking …
word problems on whole numbers Questions Find the number which, when divided by 23, gives 87 as the quotient and leaves 17 as the remainder. Which least number should be added to 7,000 so that the sum is exactly divisible by 22? Find the largest 4-digit number which is exactly divisible by 35. Find the …
To enable them to plan a trip to a planet and prepare a Space Travel Brochure including climatic conditions and geographical features of the planet, effects of spaceflight on the human brain and behaviour, wound-management and healing in space, a budget plan for the trip incorporating all the estimated expenses that will be incurred for …
1. Simplify: [ begin{aligned}[t] 12 – overline{8 – 3 cdot (2 + 1)} end{aligned} ] 2. Simplify: [ begin{aligned}[t] 5 cdot overline{18 div (6 + 3)} + 2 end{aligned} ] 3. Simplify: [ begin{aligned}[t] 9 + overline{20 div 4 cdot (1 + 1)} – 3 end{aligned} ] 4. Simplify: [ begin{aligned}[t] 11 – overline{15 div …
Every journey of learning is an expedition, filled with discoveries, challenges, and the immense satisfaction of gaining knowledge. The realm of mathematics is no exception. As a discipline grounded in logic and order, mathematics is often viewed as intimidating due to its abstract nature and complex concepts. However, it’s important to remember a simple truth …
1. Calculate the determinant of the 2×2 matrix: – ( begin{vmatrix} 1 & 2 \\ 3 & 4 end{vmatrix} ) 2. Find the determinant of the 2×2 matrix: – \( begin{vmatrix} 5 & -3 \\ 2 & 6 end{vmatrix} \) 3. Determine the determinant of the 3×3 matrix: – \( begin{vmatrix} 1 & 2 & …
Solve the following linear equations and check your result $$5x + frac{7}{2} = frac{3}{2}x – 14$$ $$4x + frac{3}{5} = frac{7}{3}x – 2$$ $$2x – frac{1}{3} = frac{3}{4}x + 2$$ $$3x + frac{2}{7} = frac{5}{2}x – 1$$ $$5x – frac{1}{4} = frac{2}{3}x + 7$$ $$6x + frac{3}{8} = frac{4}{5}x – 5$$ $$8x – frac{1}{6} = …
Quadratic equations are equations of the form $$ax^2 + bx + c = 0$$, where a, b, and c are constants, and x is the variable. There are several methods for solving quadratic equations, but the most common ones are: Factoring method: If possible, you can factor the quadratic expression into two linear factors, and …
Scoring more marks in maths can be challenging, but it is achievable with consistent effort and the right approach. Here are some tips that can help you improve your performance in maths: Practice regularly: Mathematics requires a lot of practice to master the concepts and techniques. Make it a habit to practice regularly, preferably every …
Mathematics is a fundamental subject that plays a crucial role in every student’s life. Here are some of the ways in which math is important: Problem-solving skills: Math teaches students how to think logically and critically to solve complex problems, which is a valuable skill that can be applied in many areas of life. Career …
