Question
The coefficient of correlation for the following data will be
![](data:image/png;base64,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)
- 0.32
- – 0.32
- 0.35
- None of these
The correct answer is: – 0.32
By step deviation, ![u equals x minus 35 comma v equals y minus 10](data:image/png;base64,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)
We get, ![capital sigma u equals negative 15 comma capital sigma v equals 9](data:image/png;base64,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)
and ![capital sigma v to the power of 2 end exponent equals 165](data:image/png;base64,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)
Now
.
Related Questions to study
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/506373/1/977504/Picture26.png)
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Two balloons A and B are taken at 300 K, maximum capacity of balloon A and balloon B are 800 ml and 1800 ml respectively. When the balloon system is heated, which one will burst first ? A B 1600 ML 700ML
![](data:image/png;base64,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)
Two balloons A and B are taken at 300 K, maximum capacity of balloon A and balloon B are 800 ml and 1800 ml respectively. When the balloon system is heated, which one will burst first ? A B 1600 ML 700ML
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)
terms of H.P. for k N
,then
terms of H.P. for k N
,then
A particular emission line, detected in the light from a galaxy, has a wavelength
, where
is the proper wavelength of the line. The galaxy distance from us
A particular emission line, detected in the light from a galaxy, has a wavelength
, where
is the proper wavelength of the line. The galaxy distance from us
Each side of triangle ABC is divided into three equal parts as shown in the figure ratio of area of hexagon PQRSTU to area of triangle ABC is
![](data:image/png;base64,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)
Each side of triangle ABC is divided into three equal parts as shown in the figure ratio of area of hexagon PQRSTU to area of triangle ABC is
![](data:image/png;base64,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)
Given the family of lines,
Among the lines of the family, the number of lines situated at a distance of
from the point M
is
Given the family of lines,
Among the lines of the family, the number of lines situated at a distance of
from the point M
is
If x1 and x2 are the solution of the equation
-
If x1 and x2 are the solution of the equation
-
The solution set of the system of equations,
is
In this question, we use logarithmic property to solve the equation. Remember. Here solve both equation and find the relation between x and y and then put any variable value in one relation and find one variable.
The solution set of the system of equations,
is
In this question, we use logarithmic property to solve the equation. Remember. Here solve both equation and find the relation between x and y and then put any variable value in one relation and find one variable.
If x & y are real numbers and
then ' y ' cannot take the value(s) :
In this question, we have to which value y cannot give. Here ‘y’ is always non-negative, so it never given the negative value.
If x & y are real numbers and
then ' y ' cannot take the value(s) :
In this question, we have to which value y cannot give. Here ‘y’ is always non-negative, so it never given the negative value.
Statement 1:In the process of drying dishes with a towel, the wetting agent is the dish and the drying agent is the towel
Statement 2:The wetting agent gets wet during the process
Statement 1:In the process of drying dishes with a towel, the wetting agent is the dish and the drying agent is the towel
Statement 2:The wetting agent gets wet during the process
Which of the following are correct ?
In this question, we have to find which option is correct. Check every option which one is satisfy. Use the properties of the logarithmic which going to help to get the answer.
Which of the following are correct ?
In this question, we have to find which option is correct. Check every option which one is satisfy. Use the properties of the logarithmic which going to help to get the answer.
Statement 1:The reaction between
and
occurs in an acidic medium ![NH subscript 3 plus MnO subscript 4 superscript ⊖ not stretchy rightwards arrow MnO subscript 2 plus NO subscript 2](data:image/png;base64,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)
Statement 2:
is reduced to
in acidic medium
Statement 1:The reaction between
and
occurs in an acidic medium ![NH subscript 3 plus MnO subscript 4 superscript ⊖ not stretchy rightwards arrow MnO subscript 2 plus NO subscript 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANQAAAAVCAYAAAA+asAJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAA3tJREFUeNrtWjFoFEEU/VwRLCQgQSRICIjIEUQECZJCQkCChVXgEAlBDsEiiKSzshJBrCxEkBSSShCLFOEQQggpwiFIEBERQSRYiSBiIcc16//kL7ssM7MzezNzu7fz4ZHLztzM/H/vz/9/ZgGC+JBpxHPEJ8RnxAZiJpglSBBzuYzoImZTz8iZdhGLwTyjK/8QbUlbpPlMp82V0JxzOX2uWVjbDEeYXwxVtGkg3iFOCtqOIfYR4zW0Sxn5bF0HmmSHf+iqOtRuTp/ugGu7gThALLCzNPgzPbspIepjxXirPGbd7OKLDyZ8tq4DTXId8aBkDhUZ9PvIKZZI5rl+Kbo22qm+SiLKCW7L7mb0Q/xEfJeA2u55IFbZ7OKaC6Z8dqJDPEkHMVFRh2rx+kWyh1gRjBf/T9/9huhx36lMvxeI24r5qW1dEKGe5ESoVkG7EFHOVtQuvhxKl89OdIgnuYB4WlGHAt5tL2Xa5niXAQlxWkz8aX7WZvKkhSLKpGJ+ajs0qKGOc6pVtIZ6hfirkY6U0S4+HUqHz050SE+ykdn9ZA6lwrAcahmxlWnbRtxSEGdB4Aj9zLO+xhpEfWb58CF9MHCRiTnIKd8pxHte/7qkViizXXw5lA6fneiQnmSKd8BhRKiooLOmn3/hnQl4Vz5kMoAitcnTQcegPclzsuczxAc4uovSPT2KDPC6gnZxxQVTPjvRITvJQ0juTqqU8sWpySZ/pr93FePpEofSgtOeUhvTCEU1wFgN7BI54rMTHSJBjr9lyaHi3aTPu/SiY4dqcCFN9cWP1C48CHGItHcU87ctFt8uaqiy2CXNhX3NgxUbDqXisxMdRItdQyxZjlBNQ2+PCvZb5TC9puHsOuM1OWUSHSKMg93jYdunfGW0S4PXcuDJoVR8dqJDJPlCx7JD0Zi/PThUg1OiMUvEAT71ogg7D8nl31XIv/xbhuFcdpfdLqa1yaAOpeKzdR1ki7UZoSa4OG97II5JOmoyXvx6yh84uph9mROZznNaUBaHKotdgMm751nvpQrpoHViswL1Ebpl73LBG0GQbKFPG82ZoENxoXz0UU4BOEryBpL7p+BQiZzjA4LJoIMd6dWANPcz0Tg4VLKrd8D9W/a10eEKF8WjLq7fIKmqEBGbQQc75KLI9BaSd8PqJMGZ5BtN0CFIcKggQYJDBXEq/wHQi8hFPK/WhgAAARZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+Tkg8L21pPjxtbj4zPC9tbj48L21zdWI+PG1vPis8L21vPjxtc3Vic3VwPjxtaT5Nbk88L21pPjxtbj40PC9tbj48bW8+JiN4MjI5Njs8L21vPjwvbXN1YnN1cD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMTkyOzwvbW8+PG1zdWI+PG1pPk1uTzwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bW8+KzwvbW8+PG1zdWI+PG1pPk5PPC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD5z5UC9AAAAAElFTkSuQmCC)
Statement 2:
is reduced to
in acidic medium
Number of cyphers after decimal before a significant figure comes in is
In this question, we have to find the number of cyphers. We need to remember that the cypher number can be found from the logarithmic calculation but to find the actual value or to visualize it we need to remove the logarithm. Here, log105 = 0.6990 and log103 = 0.4770.
Number of cyphers after decimal before a significant figure comes in is
In this question, we have to find the number of cyphers. We need to remember that the cypher number can be found from the logarithmic calculation but to find the actual value or to visualize it we need to remove the logarithm. Here, log105 = 0.6990 and log103 = 0.4770.