State whether the following statements are True or False. Give reason in support of your answer:
(a) Between any two different rational numbers there is another rational number.
(b)
(c) 210 is 51st term of the sequence 10, 15, 20, 25, …
(d)
(e) The range of the data shown in the following frequency distribution is 350.
| Classes | 200- 250 | 250- 300 | 300- 350 | 350- 400 | 400- 450 | 450- 500 | 500- 550 |
| Frequencie | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags byusing all at a time in a queue?Express 700.1400.2100.2800.3500.42000 in terms of factorial.
Write whether the following data are discrete or continuous. Give reason in support of your answer.
i) Number of children in a family in a colony of 100 families.
ii) Number of pages in each of the 50 books having some mistake.
iii) Height of students of IGNOU who enrolled in 2021.
iv) Waiting time of metro when a person reaches metro station.
v) Monthly income of the family.
State whether the following statements are True or False. Give reason in support of your answer:
(a) Between any two different rational numbers there is another rational number.
(b)
(c) 210 is 51st term of the sequence 10, 15, 20, 25, …
(d)
(e) The range of the data shown in the following frequency distribution is 350.
| Classes | 200- 250 | 250- 300 | 300- 350 | 350- 400 | 400- 450 | 450- 500 | 500- 550 |
| Frequencie | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Write flow charts of Cramer rule and matrix method.
Find values of x, y and z given that
5x + y + z = 36
x + y + z = 16
10x+ 2y+ 2z = 72
You are bound to use the matrix techniques to solve the given equations.
If in a hall there are 10 randomly selected students then how many numbers of ways arethere such that all of them have different birthday. Assume that all of them have their birth day in non-leap years.
Evaluate the following integrals:
(i)