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Solve the following equation.
`("b" + ("b" + 1) + ("b" + 2))/4 = 21`
Concept: undefined >> undefined
The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.
| No. of saplings (Scores) xi |
No. of students (frequency) fi |
fi x xi |
| 1 | 4 | 4 |
| 2 | 6 | `square` |
| 3 | 12 | `square` |
| 4 | 8 | `square` |
| N = `square` | ∑fixi = `square` |
Mean `bar "x"` = `square/"N"`
= `square/square`
= `square`
∴ The average number of trees planted `square`
Concept: undefined >> undefined
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The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exibition is:
2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.
Concept: undefined >> undefined
The number of members in the 40 families in Bhilar are as follows:
1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.
Concept: undefined >> undefined
The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.
| Electricity used (units) `bb(x_i)` |
No. of Families (frequency) `bb(f_i)` |
`bb(f_ix_i)` |
| 30 | 7 | _________ |
| 45 | 2 | __________ |
| 60 | 8 | __________ |
| 75 | 5 | __________ |
| 90 | 3 | __________ |
| N = _________ | `sum f_ix_i` = ______ |
- How many families use 45 units electricity?
- State the score, the frequency of which is 5.
- Find N, and `sum f_ix_i`
- Find the mean of electricity used by each family in the month of May.
Concept: undefined >> undefined
Show the following numbers on a number line.
`7/3, 2, (-2)/3`
Concept: undefined >> undefined
Expand: (x + 2)(x + 3).
Concept: undefined >> undefined
Expand: (2a + 3b)(2a - 3b).
Concept: undefined >> undefined
Expand: `(m + 3/2)(m + 1/2)`.
Concept: undefined >> undefined
Expand: (x - 3)(x - 7).
Concept: undefined >> undefined
Factorise: 2x2 + 5x - 18
Concept: undefined >> undefined
Factorise: x2 - 10x + 21.
Concept: undefined >> undefined
Find the factors of 2y2 - 4y - 30.
Concept: undefined >> undefined
Compare the following number.
−7, −2
Concept: undefined >> undefined
Compare the following number.
`0,(-9)/5`
Concept: undefined >> undefined
Compare the following number.
`8/7, 0`
Concept: undefined >> undefined
Compare the following number.
`(-5)/4, 1/4`
Concept: undefined >> undefined
Compare the following number.
`40/29, 141/29`
Concept: undefined >> undefined
Compare the following number.
`-17/20, (-13)/20`
Concept: undefined >> undefined
