Calculation of standard deviation:  

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Here, Here,   Salary No.of persons c.f. 5000 8 8 6000 12 20 7000 15 35 8000 9 44 9000 5 49   N= 49   Now, 4th decile .....

When you write a number in expanded form, you write a number in the form of an addition statement that shows place value. a) 548  = 500 + 40 + 8 b) 7219 = 7000 + 200 + 10 + .....

a) Here,  Given number is  29754: Coloured number is 9 Place value of 9 is 9000. b) Here,  Given number is  63180: Coloured .....

Face value: The face value of a digit is the digit itself, at whatever place it may be. It is unchangeable and definite. Place value:  The place .....

a) Here, Coloured number is 3. Thus, The face value of 3 is 3 and place value of 3 is .....

We have given equations are,  ( 7x-2y) / 2y  = 5  ⟹ 7x - 2y = 5⨯ 2y   ⟹ 7x = 10y + 2y ⟹  7x = 12y  ⟹ x = 12y/7..............(i) And,  ( 8x+7y )/ 8y = 15 ⟹ 8x + 7y = 15 ⨯ .....

Given, Number of red balls ( R ) = 3 Number of black balls ( B ) = 4 Number of white balls ( W ) = 5 Total number of balls = 3 + 4 + 5 = 12 We have, Total possible outcomes = 12 Favourable outcome = 4 Hence,  Probability of getting black ball .....

Given, Length of the rectangular garden ( l ) = 100m Breadth of the rectangular garden ( b ) = 80m Width of the outer path ( d ) = 5m Using formula, Area of the path surrouding the garden ( A ) = 2d( l+b+d ) = 2*5( 100+80+5 ) = 10( 100+80+5 ) = .....

Given, the water tank is cuboid. Length of the tank( l ) = 15m Wide of the tank( b ) = 10m Depth of the tank( h ) = x Volume of the tank = 500000l We know, 1000 l = 1m3 1 l = ( 1/1000 )m3 500000 l = ( 500000/1000 )m3 = 500m3 Using formula, Volume .....

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Here, RHS = tan62o = tan(45o + 17o) Using formula of tan(A+B), we get = (tan45o + tan17o)/(1 - tan45o.tan17o) = ( 1 + tan17o)/(1 - tan17o)      .....

Here,  Arranging the given data in ascending order, we get 60, 70, 80, 100, 120, 150, 165. Therefore: n = 7 i) Seventh decile: .....

बलेको = विशेषण आगो = नाम सबै = परिमाणबोधक विशेषण तर = संयोजक भन्दा = नामयोगी बन्नुपर्छ = .....

Atomic Hydrogen has one electron in its outermost orbit. Thus it can accept or donate one electron to reach the electronic configuration of the nearest inert gas. On the other hand, molecular hydrogen consists of two atoms of hydrogen linked .....

We can grow our muscle by taking proper diet, and regular .....

While consuming honey it increases the metabolization of our body which increases the internal temperature of the body. Meanwhile, in  Nepal, Baishak and jestha are a hot climate. So during this time consuming more amount of honey make you .....

Here, RHS = cot59o  = cot(45o + 14o) Using formula of cot(A + B), we get = (cot45o. cot14o - 1)/(cot14o + cot45o) Using cot45o = 1, we get = (cot14o - 1)/(cot14o + 1) Changing cot= cos/sin, we get = (cos14/sin14 - 1)/(cos14/sin14 + .....

Let p = √3 and (x, y) = (2, 0). Equation of stright line with distance p from the origion is  x cosα + y sin α = p or, 2 cosα + 0. sinα .....

When, A(a, 5 - b) reflected on x-axis, it becomes A'(a, -5 + b) According to a question, (a, -5 + b) = (2a-3,2b-8) or, a = 2a - 3 ⟹ a =3 And,  - 5 + b = 2b - 8 ⟹ b = 3. Thus, a = 3 and b = .....

Please post complete .....

While consuming honey it increases the metabolization of our body which increases the internal temperature of the body. Meanwhile, in  Nepal, Baishak and jestha are a hot climate. So during this time consuming more amount of honey make you .....

A matrix is said to be zero matrix or null matrix if all its elements are zero. Example: Size: 2 x 2 Size 3 x .....

Here, (a + 3, b - 4) = (0, 5) Equating the corresponding elements we get a + 3 = 0 ⟹ a = -3  And, b - 4 = 5 ⟹ b = 9. Thus, a = -3 and b = .....

Here, 90g = 90 x (9/10)o = 81o      [ Since, 1g = (9/10)o] And, 90g = 90 x πc /200 = 9πc /20.      [ Since, 1g = .....

Sin0 = 0 cosec0 = 1/sin0 = .....

Let the angles of a right angled triangle are A & B. Then,  A - B = 2πc /5..............(i) And, we know, A + B = πc /2   .........(ii)   [ Sum of acute angles of a rt.angled triangle .....

Did you mean 5πc? If so, 5πc = 5π x 180o/π = 900o.    [ Since, 1c = 180o/π.] 5πc = 5π x .....

Please ask the complete .....

Here,  h(x) = (4x2 - 25)/(2x - 5) At, x = 2.5,  h(2.5) =  {4(2.5)2 - 25}/{2(2.5) - 5}            = 0/0, undefinrd. Let us simplify h(x), h(x) .....

You can do it by the following method:

1. Break the number (decompose it) into place value subgroups:

 Here, l = 9 cm.                  b = 6 cm. We know, the area of rectangle, A = l x b                               .....

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Here, we have given equation 4x + 3y = 8  When, y = 0 , 4x + 3⨯0 = 8 or, x = 2. Therefore point on the line 4x + 3y = 8 is (2, 0). Comparing the equation 4x + 3y - 12 = 0, we get A = 4, B= 3 and C = - 12. So, distance between two given .....

We see the object with our .....

Infrastructure of development is development of physical development of a place with improved living standard of the community of the concerned place. Social change brought to any place due to infrastructural development is end of .....

Proper identification of human resources and utilising them in developmental activities help the respective province .....

I would convince them in the following ways: - You would better invest in a small amount. - You would better invest in the areas of comparative benefits. - Investing in the share is also a kind of contribution for well being. - It helps us to .....

The provincial government can improve  HDI the following ways: - The government  should focus on the betterment of the educational status of  people in the country. - Improvement in the health of the people in the provinces should .....

The following table shows comparative study between direct tax and indirect tax :

Direct Tax

Indirect Tax

Direct tax is referred to as the tax, levied on person's income and wealth .....

Both the government and the local communities have equal roles in preservation of local heritages. Infact the local community has greater responsibility in their preservations as they are the ones who have better knowledge about them. Some of the .....

- They should be made free of political pressure. - The institutional capacity of them should be developed. - The qualified person should be selected. - The effective plans and policies for their effective conduct should be made. - Use of modern .....

Veto power is special power reserved for permanent members of the Security Council of UNO. Some of the advantages of veto power are: builds consensus amongst the member nations no nation can push the bill through the Security Council .....

People experienced a kind of just society. The solidarity and the social harmorny got improved. The pattern of social system .....

Playing a game is the most important part of our life.It is an activity that involves individual and group.It provides an entertainment, doesn't it. It makes us strong ...(both, either, neither) physically and mentally. When we become mentally .....

A rose was given to her by .....

Here, 3×√192−4×3×√375+2×3×√24 = 3×√(2.2.2.2.2.2.3)−4×3×√(3.5.5.5)+2×3×√(2.2.2.3) = 3×2×2×2√3 - .....

Is the tea being .....