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Find the mean of first five composite number

The first five composite numbers are: 4, 6, 8, 9, 10 As we know, Mean = (Sum of values)/(Total number of values) Sum of values... View Article

In simple Regression equation the number of variables involved are: (a)2 (b)1 (c) 0 (d) 3

Answer: (a) 2 A linear regression is represented as: y = a + bx, where x and y are variables.... View Article

Solve the following equation: 3(t – 3) = 5 (2t + 1).

3(t−3) = 5(2t+1) 3t − 9 = 10t + 5 3t - 10t = 5 + 9 -7t = 14 t = -14/7 t = -2... View Article

In euclids division lemma when a=bq+r where a,b are positive integers then what values r can take?

Answer: 0 ≤ r < b According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique... View Article

Find the ratio of 5m to 10km

Given, 5m to 10km 10 km = 10 x 1000 = 10000 m 5m/10km = 5m/10000m = 1/2000 = 1:2000... View Article

List the alphabets having rotational symmetry and reflection symmetry, also list the orders in rotational symmetry as well as reflections symmetry.

Alphabets having a reflection symmetry about a vertical mirror are A, H,I, M, O, T, U, V, W, X, Y Alphabets having a reflection symmetry about a... View Article

A fruit-seller had some apples. He sells 40% of them and still has 420 apples. Find the number of apples he had originally.

Assume that the fruit seller initially had 100 apples He sell 40% of them = 40 apples Left out apples = (100 - 40) = 60 In initial amount of... View Article

What is symbol of perperdicular bisect?

Symbol of perpendicular bisector is '⊥'. If two lines 'l' and 'm' are perpendicular to each other, then we can represent them as: l ⊥ m.... View Article

Find the ratio of- Rs 5 to 50 paise.

Rs.5 = 5 x 100 = 500 paise Therefore, the ratio of Rs.5 to 50 paise is: 500/50 = 10:1 Therefore, required ratio is 10:1.... View Article

What is the meaning of co interior angles?

Co-interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to... View Article

Factorise: x^3-3x^2+3x+7

x³ - 3x² + 3x + 7 = x³ + x² - 4x² - 4x + 7x + 7 = x²(x + 1) + -4x (x + 1) + 7 (x + 1) = (x + 1) (x² - 4x + 7)... View Article

Which of the following is the 1’s complement of 10? (A) 10 (B) 01 (C) 11 (D) 00

Answer: (B) 01 1's compliment of 1 is 0 and of 0 is 1.... View Article

What is the difference between a theorem and an axiom?

An axiom is a mathematical statement which is assumed to be true even without proof. A theorem is a mathematical statement whose truth has been... View Article

If integration of (a)^(b)(f(x))/(f(x)+f(a+b-x))dx=10, then b – a = ?

Adding both the equation (i) and (ii), we get; 2I = ∫ab 1.dx = b - a I = (b-a)/2 Or (b-a)/2 = 10 (Given) b - a = 20 ... View Article

Estimate the sum of 3897 and 6955

The sum of 3897 and 6955 is 10852.... View Article

Find the sum of 2+4+6+……+200.

Given, 2+4+6+......+200 It is the sum of an Arithmetic Progression Sum of A.P., Sn = n/2[a + l] Here, a = 2 d = 4 - 2 = 2 last term,... View Article

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC, prove that 9AD² = 7AB²

△ABC is a an equilateral triangle AB = BC = AC = a https://cdn1.byjus.com/wp-content/uploads/2020/07/triangles-exercise-6-5-answer-15.png In... View Article

What is the formula of x square +y square +z square?

Answer: Need to find the formula of x2 + y2 + z2 = ? (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx Thus, x2 + y2 + z2 = (x + y + z)2 - (2xy... View Article

How many face and vertices does a square have?

How many face and vertices does a square have? A square is two-dimensional shape. It has four vertices and four sides but zero faces. A... View Article

Find the hcf of two coprime numbers.

Two numbers are coprimes when the highest common factor (HCF) of them is 1. Therefore, the HCF of two co primes is 1. For example, HCF of 5 and... View Article

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