State whether the following statements are True or False. Give a reason in support of your answer.
(a) Between any two different irrational numbers there is another irrational number.
(b)
(c)
(d) The range of the data shown in the following frequency distribution is 350.
| Classes | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 |
| Frequencies | 0 | 7 | 3 | 8 | 4 | 0 | 0 |
(a) True. Between any two different irrational numbers, one can always find another irrational number. For example, if ( \sqrt{2} ) and ( \sqrt{3} ) are two irrationals, their ___ ________ ______ ________ _____ _________ ________ _____.
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_______ _________ ________ ________ _______.
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_______ ________ ____ _______ ________ ______ _____ _______ _______ _____ ______ _____.
______ ___ _________ _____ ______.
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State whether the following statements are True or False. Give a reason in support of your answer.
(a) Between any two different irrational numbers there is another irrational number.
(b)
(c)
(d) The range of the data shown in the following frequency distribution is 350.
| Classes | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 |
| Frequencies | 0 | 7 | 3 | 8 | 4 | 0 | 0 |
How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags by using all at a time in a queue?
Write whether the following data are discrete or continuous. Give reason in support of your answer.
(a) Number of children in a family in a colony of 1000 families.
(b) Number of pages in each of the 50 books having some mistake.
(c) Height of students of IGNOU who enrolled in 2021.
(d) Waiting time of metro when a person reaches metro station.
(e) Monthly income of the family.
Find values of x, y and z given that
You are bound to use the matrix techniques to solve the given equations.
Discuss the continuity and differentiability of the following function at .
Set having values is countable.
A carpenter was hired to build 320 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?