An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X, 9 out of 100 parts may be defective. -Maths 9th

An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X, 9 out of 100 parts may be defective. -Maths 9th
by

1 Answer

Answer :

(b) \(rac{1}{4}\)Since A and B are mutually exclusive and exhaustive events, therefore, P(A ∩ B) = 0, P(A ∪ B) = 1 We know that, P(A ∪ B) = P(A) + P(B) – P(A ∩ B) ⇒ 1 = P(A) + 3 P(A)                    (Given P(B) = 3P(A)) ⇒ 4P(A) = 1 ⇒ P(A) = \(rac{1}{4}\)∴ P(B) = 1 - \(rac{1}{4}\) = \(rac{3}{4}\)                   (∵ P(A) + P(B) = 1)⇒ P(\(\bar{B}\)) = 1 - P(B) = 1 - \(rac{3}{4}\) = \(rac{1}{4}\).
by

Related questions

A machine manufactured by a firm consists of two parts A and B. But of 100 A’s manufactured, -Maths 9th

Description : A machine manufactured by a firm consists of two parts A and B. But of 100 A’s manufactured, -Maths 9th

Last Answer : Let E = {part A is defective}, F = {part B is defective}.Then, P (E) = \(rac{9}{100}\), P(F) = \(rac{5}{100}\)∴ P(\(\bar{E}\)) = 1 - \(rac{9}{100}\) = \(rac{91}{100}\) and P(\(\bar{F}\)) = 1 - \(rac{5 ... . P(\(\bar{F}\)) = \(rac{91}{100}\) x \(rac{95}{100}\)= 0.91 x 0.95 = 0.8645 = 0.86 to 2 d.p.

As per section 2(1)(j) of Consumer Protection Act 1986, 'manufacturer' means a person who (i) makes or manufactures any goods or part thereof (ii) does not make or manufacture any goods but assembles parts thereof made or manufactured by others (iii) puts or causes to be put his own mark on any goods made or manufactured by any other manufacturer; Codes: A. (i) & (ii) B. (i) & (iii) C. (ii) & (ii) D. (i), (ii) & (iii)

Description : As per section 2(1)(j) of Consumer Protection Act 1986, 'manufacturer' means a person who (i) makes or manufactures any goods or part thereof (ii) does not make or manufacture any goods but assembles parts thereof made or manufactured by ... B. (i) & (iii) C. (ii) & (ii) D. (i), (ii) & (iii)

Last Answer : D. (i), (ii) & (iii)

Books are packed in piles each containing 20 books. Thirty five piles were examined for defective books and the results are given in the following table : -Maths 9th

Description : Books are packed in piles each containing 20 books. Thirty five piles were examined for defective books and the results are given in the following table : -Maths 9th

Last Answer : Total number of books = 700 (i) P(no defective books) = 400 / 700 = 4 / 7 (ii) P(more than 0 but less than 4 defective books) = 269 / 700 (iii) P(more than 4 defective books) = 13 / 700

Books are packed in piles each containing 20 books. Thirty five piles were examined for defective books and the results are given in the following table : -Maths 9th

Description : Books are packed in piles each containing 20 books. Thirty five piles were examined for defective books and the results are given in the following table : -Maths 9th

Last Answer : Total number of books = 700 (i) P(no defective books) = 400 / 700 = 4 / 7 (ii) P(more than 0 but less than 4 defective books) = 269 / 700 (iii) P(more than 4 defective books) = 13 / 700

Pick out the wrong statement pertaining to nitric acid. (A) About 90% of nitric acid is manufactured by Ostwald's process (B) It is a strong mono basic acid which reacts with almost all the metals except noble metals (C) Yellow color of impure nitric acid is because of dissolved oxides of nitrogen (mainly NO2 ) (D) Arc process of nitric acid manufacture is economical as compared to Ostwald's process

Description : Pick out the wrong statement pertaining to nitric acid. (A) About 90% of nitric acid is manufactured by Ostwald's process (B) It is a strong mono basic acid which reacts with almost all the ... (mainly NO2 ) (D) Arc process of nitric acid manufacture is economical as compared to Ostwald's process

Last Answer : (D) Arc process of nitric acid manufacture is economical as compared to Ostwald's process

Pick out the wrong statement pertaining to the soap manufacture. (A) Transparent soaps are made by cold process (B) Organic pigments are used as colouring materials in the soap manufacture (C) Both laundry as well as toilet soaps are manufactured by hot process (D) Colourless rosin is used in the manufacture of laundry soaps

Description : Pick out the wrong statement pertaining to the soap manufacture. (A) Transparent soaps are made by cold process (B) Organic pigments are used as colouring materials in the soap manufacture (C) ... soaps are manufactured by hot process (D) Colourless rosin is used in the manufacture of laundry soaps

Last Answer : (A) Transparent soaps are made by cold process

The temperature of a liquid can be measured in Kelvin units as x K or in Fahrenheit units as y°F. The relation between the two system of measurement of temperature is given by the linear equation y = 9/5 ( x - 273 ) + 32 -Maths 9th

Description : The temperature of a liquid can be measured in Kelvin units as x K or in Fahrenheit units as y°F. The relation between the two system of measurement of temperature is given by the linear equation y = 9/5 ( x - 273 ) + 32 -Maths 9th

Last Answer : Solution :-

If x+y=9 and xy=20,then find the value of x(square) + y(square). -Maths 9th

Description : If x+y=9 and xy=20,then find the value of x(square) + y(square). -Maths 9th

Last Answer : Solution :-

Factorise: 25/4.x(square) - y(square)/9. -Maths 9th

Description : Factorise: 25/4.x(square) - y(square)/9. -Maths 9th

Last Answer : Solution :-

What is the angle between the lines whose equations are: 3x + y – 7 = 0 and x + 2y + 9 = 0. -Maths 9th

Description : What is the angle between the lines whose equations are: 3x + y – 7 = 0 and x + 2y + 9 = 0. -Maths 9th

Last Answer : (c) (8, 6)Let AB be the given line 4x + 3y = 25 Let O′(a, b) be the image of O in the given line AB. Let O O′ cut AB in point P. Also OP ⊥ AB and P is the mid-point of OO′. ∴ Co-ordinates of P are \(\bigg( ... 4 imes6}{3}\) = 8∴ The image of the point O(0, 0) in the line 4x + 3y - 25 = 0 is (8, 6).

Write each of the following as decimals. (a) 20 + 9 + 4 / 10 + 1 / 100 (b) 137 + 5 / 100 (c) 7 / 10 + 6 / 100 + 4 / 1000 (d) 23 + 2 / 10 + 6 / 1000 (e) 700 + 20 + 5 + 9 / 100 -Maths 9th

Description : Write each of the following as decimals. (a) 20 + 9 + 4 / 10 + 1 / 100 (b) 137 + 5 / 100 (c) 7 / 10 + 6 / 100 + 4 / 1000 (d) 23 + 2 / 10 + 6 / 1000 (e) 700 + 20 + 5 + 9 / 100 -Maths 9th

Last Answer : (a) 20 + 9 + 4 / 10 + 1 / 100 = 29 + 0.4 + 0.01 = 29.41 (b) 137 + 5 / 100 = 137 + 0.05 = 137.05 (c) 7 / 10 + 6 / 100 + 4 / 1000 = 0.7 + 0.06 + 0.004 =0.764 (d) 23 + 2 / 10 + 6 / 1000 = 23 + 0.2 + 0.006 = 23.206 (e) 700 + 20 + 5 + 9 / 100 = 725 + 0.09 = 725.09

A class consists of 50 students out of which 30 are girls. -Maths 9th

Description : A class consists of 50 students out of which 30 are girls. -Maths 9th

Last Answer : Mean marks scored by girls ( x̅1 ) = 73 Number of girls (n1) = 30 Mean marks scored by boys ( x̅2 ) = 71 Number of boys (n2) = 50 - 30 = 20 Mean score of the whole class ( x̅12 ) = n1 x̅1 + n2 x̅2 /n1 + n2 = 30 x 73 + 20 x 71/30 + 20 = 2190 + 1420/50 = 3610/50 x̅ 2 = 72.2

A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder be 1.4 m and its length be 8 m, find the cost of painting it on the outside at the rate of Rs. 10 per m -Maths 9th

Description : A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder be 1.4 m and its length be 8 m, find the cost of painting it on the outside at the rate of Rs. 10 per m -Maths 9th

Last Answer : Answer We have, r=0.7m, h=8m ∴ Total surface area = 2πr2+2πrh=2πr(r+h)=2×722​×0.7×8.7m2 Required cost = Rs. {2×722​×0.7×8.7×10}=Rs.382.80

A lead pencil consists of a cylinder of wood -Maths 9th

Description : A lead pencil consists of a cylinder of wood -Maths 9th

Last Answer : Radius of solid graphite cylinder (r) = 1/2 mm = 1/2 x 1/10 = 1/20 cm Length of graphite cylinder (h) = 14 cm Volume of graphite cylinder (h) = πr2h = 22/7 x 1/20 x 1/20 x 14 = 0.11 cm3 Radius ... Volume of the wood = Volume of the pencil - Volume of the graphite = 5.39 cm3 - 0 .11 cm3 = 5.28 cm3

A class consists of 80 students, 25 of them are girls and 55 boys. 10 of them are rich and 20 are fair complexioned. -Maths 9th

Description : A class consists of 80 students, 25 of them are girls and 55 boys. 10 of them are rich and 20 are fair complexioned. -Maths 9th

Last Answer : Let P (A) = Probability of selecting a fair complexioned person. ThenP(A) = \(rac{20}{80}\) = \(rac{1}{4}\)Let P(B) = Probability of selecting a rich person. Then P(B) = \(rac{10}{80}\) = \(rac{1}{8}\)Let P (C) = ... ) = \(rac{1}{4}\)x \(rac{1}{8}\)x \(rac{5}{16}\) = \(rac{5}{512}\) = 0.009.

At what point does the graph of the linear equation 2x + 3y = 9 meet a line which is parallel to the y-axis, at a distance of 4 units from the origin and on the right of the y-axis? -Maths 9th

Description : At what point does the graph of the linear equation 2x + 3y = 9 meet a line which is parallel to the y-axis, at a distance of 4 units from the origin and on the right of the y-axis? -Maths 9th

Last Answer : hope its clear

In Kraft process of paper manufacture, white cooking liquor consists of caustic soda (A) Sodium sulphide & sodium carbonate (B) Sodium sulphite & sodium carbonate (C) Sodium sulphite & sodium sulphide (D) None of these

Description : In Kraft process of paper manufacture, white cooking liquor consists of caustic soda (A) Sodium sulphide & sodium carbonate (B) Sodium sulphite & sodium carbonate (C) Sodium sulphite & sodium sulphide (D) None of these

Last Answer : (A) Sodium sulphide & sodium carbonate

What type of maintenance involves isolating equipment troubles and replacing defective parts?

Description : What type of maintenance involves isolating equipment troubles and replacing defective parts?

Last Answer : Corrective maintenance.

What is the least value of the expression 2 log10x – logx (1/100) for x > 1 ? -Maths 9th

Description : What is the least value of the expression 2 log10x – logx (1/100) for x > 1 ? -Maths 9th

Last Answer : answer:

If x +1 is a factor of ax3 +x2 -2x + 4a - 9, then find the value of a. -Maths 9th

Description : If x +1 is a factor of ax3 +x2 -2x + 4a - 9, then find the value of a. -Maths 9th

Last Answer : The value of a

If x +1 is a factor of ax3 +x2 -2x + 4a - 9, then find the value of a. -Maths 9th

Description : If x +1 is a factor of ax3 +x2 -2x + 4a - 9, then find the value of a. -Maths 9th

Last Answer : The value of a

If the mean of the observations x, x + 3, x + 5, x + 7and x + 10 is 9, then mean of the last three observations is -Maths 9th

Description : If the mean of the observations x, x + 3, x + 5, x + 7and x + 10 is 9, then mean of the last three observations is -Maths 9th

Last Answer : NEED ANSWER

If the mean of the observations x, x + 3, x + 5, x + 7and x + 10 is 9, then mean of the last three observations is -Maths 9th

Description : If the mean of the observations x, x + 3, x + 5, x + 7and x + 10 is 9, then mean of the last three observations is -Maths 9th

Last Answer : According to question find the mean of the last three observations

Simplify: 9 to the power 1/3 x 27 to the 3 to the power -1/2 / 3 to the power 1/6 x 3 to the power -2/3. -Maths 9th

Description : Simplify: 9 to the power 1/3 x 27 to the 3 to the power -1/2 / 3 to the power 1/6 x 3 to the power -2/3. -Maths 9th

Last Answer : Solution :-

If (x+1) is a factor of ax(cube) + x(square) - 2x + 4a - 9,find the value of a. -Maths 9th

Description : If (x+1) is a factor of ax(cube) + x(square) - 2x + 4a - 9,find the value of a. -Maths 9th

Last Answer : solution :-

In Fig. 6.9, find the value of x. -Maths 9th

Description : In Fig. 6.9, find the value of x. -Maths 9th

Last Answer : Solution :-

If |x – 4| < 9, then -Maths 9th

Description : If |x – 4| < 9, then -Maths 9th

Last Answer : answer:

If 3sin x + 4cos x = 5, then 6 tan x/2 - 9 tan^2 x/2 is equal to -Maths 9th

Description : If 3sin x + 4cos x = 5, then 6 tan x/2 - 9 tan^2 x/2 is equal to -Maths 9th

Last Answer : answer:

If the HCF of (x^2 + x – 12) and (2x^2 – kx – 9) is (x – k), then what is the value of k ? -Maths 9th

Description : If the HCF of (x^2 + x – 12) and (2x^2 – kx – 9) is (x – k), then what is the value of k ? -Maths 9th

Last Answer : answer:

Find the ratio in which the x-axes divides the line joining the points (–2, 5) and (1, –9) ? -Maths 9th

Description : Find the ratio in which the x-axes divides the line joining the points (–2, 5) and (1, –9) ? -Maths 9th

Last Answer : Let the co-ordinates of the point of internal division A be (x, y). Then,\(x\) = \(rac{2 imes(-7)+3 imes8}{2+3}\) = \(rac{-14+24}{5}\) = \(rac{10}{5}\) = 2y = \(rac{2 imes4+3 imes9}{2+3}\) = \(rac{8+27}{5}\) = \(rac{35}{5}\) = 7∴ Co-ordinates of the point for internal division are (2, 7).

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD -Maths 9th

Description : ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD -Maths 9th

Last Answer : (d) Here, ABCD need not be any of rectangle, rhombus and parallelogram because if ABCD is a square, then its diagonal AC also divides it into two parts which are equal in area.

If two equal chords of a circle intersect, prove that the parts of one chord are separately equal to the parts of the other chord. -Maths 9th

Description : If two equal chords of a circle intersect, prove that the parts of one chord are separately equal to the parts of the other chord. -Maths 9th

Last Answer : Explanation of this question

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD -Maths 9th

Description : ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD -Maths 9th

Last Answer : (d) Here, ABCD need not be any of rectangle, rhombus and parallelogram because if ABCD is a square, then its diagonal AC also divides it into two parts which are equal in area.

If two equal chords of a circle intersect, prove that the parts of one chord are separately equal to the parts of the other chord. -Maths 9th

Description : If two equal chords of a circle intersect, prove that the parts of one chord are separately equal to the parts of the other chord. -Maths 9th

Last Answer : Explanation of this question

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Description : A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Last Answer : From the adjoining figure, we have The field PQRS is divided into three parts △PAQ, △APS and △AQR. Now, △PAQ and ||gm PQRS are on the same base and lie between the same parallels. ∴ ar(△PAQ) = 1 / 2 ar(||gm ... , she can sow wheat in △APS and △AQR, pulses in △PAQ or vice - versa .

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Description : A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Last Answer : From the adjoining figure, we have The field PQRS is divided into three parts △PAQ, △APS and △AQR. Now, △PAQ and ||gm PQRS are on the same base and lie between the same parallels. ∴ ar(△PAQ) = 1 / 2 ar(||gm ... , she can sow wheat in △APS and △AQR, pulses in △PAQ or vice - versa .

If a circle is divided into eight equal parts, find the angle subtended by each arc at the centre. -Maths 9th

Description : If a circle is divided into eight equal parts, find the angle subtended by each arc at the centre. -Maths 9th

Last Answer : Total angle at centre = 360° When divided into eight part, Angle subtended by each arc = 360 / n8 = 45°

The game of “chuck-a-luck” is played at carnivals in some parts of Europe. Itsrules are asfollows: You pick a number from 1 to 6 and the operator -Maths 9th

Description : The game of “chuck-a-luck” is played at carnivals in some parts of Europe. Itsrules are asfollows: You pick a number from 1 to 6 and the operator -Maths 9th

Last Answer : (c) 0.42P(Particular number comes on the dice) = \(rac{1}{6}\)(∵ there are in all 6 numbers)P(particular number does not come on the dice) = 1 - \(rac{1}{6}\) = \(rac{5}{6}\)As there are 3 dices, so,P(Picked number ... (\big(rac{5}{6}\big)^3\) = \(rac{125}{216}\) ≈ 0.58∴ P(Winning) = 1 - 0.58 = 0.42

Side AC of a right triangle ABC is divided into 8 equal parts. Seven line segments parallel to BC are drawn to AB from the points of division. -Maths 9th

Description : Side AC of a right triangle ABC is divided into 8 equal parts. Seven line segments parallel to BC are drawn to AB from the points of division. -Maths 9th

Last Answer : answer:

Points P, Q, R and S divide a line segment joining A (2, 6) and B (7, -4) in five equal parts. Find the coordinates of P and R. -Maths 9th

Description : Points P, Q, R and S divide a line segment joining A (2, 6) and B (7, -4) in five equal parts. Find the coordinates of P and R. -Maths 9th

Last Answer : this is the ans hope its clear

While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown ... -Maths 9th

Description : While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown ... -Maths 9th

Last Answer : (a) Yes , x < y is correct (b) Ð ADB =Ð DBC = y (alternate int. angles) since BC < CD (angle opp. to smaller side is smaller) there for, x < y (c) Truth value

find two solution of 4 x + Y is equal to 2 -Maths 9th

Description : find two solution of 4 x + Y is equal to 2 -Maths 9th

Last Answer : When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from ... we do to one side of the equation we have to do the same to the other side of the equation. So,..

find two solution of 4 x + Y is equal to 2 -Maths 9th

Description : find two solution of 4 x + Y is equal to 2 -Maths 9th

Last Answer : When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from ... we do to one side of the equation we have to do the same to the other side of the equation. So,..

Let cost of a pen and a pencil be “x” and “y” respectively. A girl pays ₹16 for 2 pens and 3 pencils. Write the given data in the form of a linear equation in two variables. Also represent it graphically. -Maths 9th

Description : Let cost of a pen and a pencil be “x” and “y” respectively. A girl pays ₹16 for 2 pens and 3 pencils. Write the given data in the form of a linear equation in two variables. Also represent it graphically. -Maths 9th

Last Answer : Solution :-

Draw a graph of the equation x + Y = 5 & 3x - 2y =0 on the same graph paper. Find the coordinates of the point whose two lines intersect. -Maths 9th

Description : Draw a graph of the equation x + Y = 5 & 3x - 2y =0 on the same graph paper. Find the coordinates of the point whose two lines intersect. -Maths 9th

Last Answer : This answer was deleted by our moderators...

Draw a graph of the equation x - Y = 4 & 2x+ 2y =4 on the same graph paper find the coordinates of the point whose two lines intersect. -Maths 9th

Description : Draw a graph of the equation x - Y = 4 & 2x+ 2y =4 on the same graph paper find the coordinates of the point whose two lines intersect. -Maths 9th

Last Answer : This answer was deleted by our moderators...

Draw a graph of the equation x+ y=5 & 3x -2y=0 in the same graph paper find the coordinates of the point whose two two lines intersect. -Maths 9th

Description : Draw a graph of the equation x+ y=5 & 3x -2y=0 in the same graph paper find the coordinates of the point whose two two lines intersect. -Maths 9th

Last Answer : From x + y = 5, If x = 0 0 + y = 5 y = 5 Therefore (0,5) If x = 1 1 + y = 5 y =5 - 1 y = 4 Therefore (1,4) Draw a graph for this And From 3x - 2y = 0 If x = 0 3 (0) - 2y = 0 0 - ... 2y = 0 -2y = -6 y = -6/-2 y = 3 Therefore (2,3) Draw a graph for these points And the point of intersection is (2,3)

Twice the number of marbles with Aman exceeds thrice the number of marbles with Vinay by 12. Assume the number of marbles with Aman and Vinay as x and y respectively .Express the statement in the form of a linear equation in two variables. -Maths 9th

Description : Twice the number of marbles with Aman exceeds thrice the number of marbles with Vinay by 12. Assume the number of marbles with Aman and Vinay as x and y respectively .Express the statement in the form of a linear equation in two variables. -Maths 9th

Last Answer : answer:

Five years hence , the age of Ram will be 10 more than the two thirds of Ravi’s age . Assume the present ages of Ram and Ravi as x and y respectively . Express the statement in the form of a linear equation in two variables. -Maths 9th

Description : Five years hence , the age of Ram will be 10 more than the two thirds of Ravi’s age . Assume the present ages of Ram and Ravi as x and y respectively . Express the statement in the form of a linear equation in two variables. -Maths 9th

Last Answer : answer:

The length of a rectangular piece of fabric is twice its width . identify the geometrical representation of this situation when represented as an equation in two variables. Width and length be represented as x and y respectively . -Maths 9th

Description : The length of a rectangular piece of fabric is twice its width . identify the geometrical representation of this situation when represented as an equation in two variables. Width and length be represented as x and y respectively . -Maths 9th

Last Answer : answer: