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Raunak _ Pandey ?? 7 years, 1 month ago
Posted by Akash Wagaj 7 years, 1 month ago
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Posted by Maria Jaleel 7 years, 1 month ago
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Posted by Maria Jaleel 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
Since mean of 20 observations is 12
Sum of the 20 observations = 12 {tex}\times{/tex} 20 = 240
New sum of 20 observations = 240 +(5 x 20) = 420 + 100 = 520
New mean = 520/20 = 26
Posted by Aman Singh 7 years, 1 month ago
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Nishant Ranjan 7 years, 1 month ago
Posted by Alfas Basheer 6 years, 6 months ago
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Sia ? 6 years, 6 months ago

P is midpoint of QR
or, {tex}\frac { a } { 3 } = \frac { - 5 + ( - 1 ) } { 2 }{/tex}
or, {tex}\frac { a } { 3 } = \frac { - 6 } { 2 }{/tex}
or, a = -9
Posted by Madhav Jha 6 years, 6 months ago
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Sia ? 6 years, 6 months ago
Let the four parts be (a - d), a and (a + d).
{tex}\therefore{/tex} a - d + a + a + d = 207
{tex}\Rightarrow{/tex} 3a = 207
{tex}\Rightarrow{/tex} a = 69
According to given information,
{tex}\Rightarrow ( a - d ) \times a = 4623{/tex}
{tex}\Rightarrow ( 69 - d ) \times 69 = 4623{/tex}
{tex}\Rightarrow{/tex} 69 - d = 67
{tex}\Rightarrow{/tex} d = 2
Thus, the three parts are a - d, a, a+ d i.e., 67, 69, 71.
Posted by Sana Usmani 7 years, 1 month ago
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Hardik Panwar 7 years, 1 month ago
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Aditya Kumar 7 years, 1 month ago
Posted by Mumaiz Peer 7 years, 1 month ago
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Posted by H. K. Mehra 6 years, 6 months ago
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Sia ? 6 years, 6 months ago
Suppose x and y be two cars starting from points A and B respectively.
Let the speed of the car X be x km/hr and that of the car Y be y km/hr.
Case I: When two cars move in the same directions:
Suppose two cars meet at point Q, then,
Distance travelled by car X = {tex}AQ{/tex}
Distance travelled by car Y = {tex}BQ{/tex}
Distance travelled by car X in 8 hours = 8x km.
{tex}AQ = 8x{/tex}
Distance travelled by car Yin 8 hours = 8y km.
{tex}BQ = 8y{/tex}
Clearly {tex}AQ - BQ = AB{/tex}
{tex}8x - 8y = 80{/tex}
{tex}\Rightarrow {/tex} {tex}x - y = 10{/tex} ...(i)
Case II: When two cars move in opposite direction
Suppose two cars meet at point P, then,
Distance travelled by X car X = AP
Distance travelled by Y car Y = BP
we can write it as 1 hour = {tex}\frac{{20}}{{60}}{/tex}hours.
Therefore, Distance travelled by a car Y in {tex}\frac{4}{3}{/tex}hrs = {tex}\frac{4}{3}{/tex}x km.
AP + BP = AB
{tex}\frac{4}{3}x{/tex} km + {tex}\frac{4}{3} y{/tex} km = 80
{tex}\frac{4}{3}{/tex}{tex}(x + y) = 80{/tex}
{tex}( x + y ) = 80{/tex} × {tex}\frac{3}{4}{/tex}
{tex}x + y = 60{/tex} ...(ii)
By solving equations (i) and (ii), we get, {tex}x = 35.{/tex}
By substituting x = 35 in equation (ii), we get
{tex}x + y = 60{/tex}
{tex}35 + y = 60{/tex}
{tex}y = 60 - 35{/tex}
{tex}y = 25.{/tex}
Hence, speed of car X {tex}= 35\ km/hr.{/tex}
Speed of car Y ={tex} 25\ km/hr.{/tex}
Posted by Ashwani Singh 7 years, 1 month ago
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Posted by Vickey Jha 7 years, 1 month ago
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Anson Simon 7 years, 1 month ago
Posted by Lalit Chaudhary 7 years, 1 month ago
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Posted by Abishek Luitel 7 years, 1 month ago
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Yogita Ingle 7 years, 1 month ago
Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point.
Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.
Posted by Shourya Sharma 7 years, 1 month ago
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Raunak _ Pandey ?? 7 years, 1 month ago

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Raunak _ Pandey ?? 7 years, 1 month ago
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