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Show that `(-1 + sqrt(3) i)^3` is a real number.
Concept: undefined >> undefined
Show that `(−1 + sqrt3 i)^3` is a real number.
Concept: undefined >> undefined
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Simplify the following and express in the form a + ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
Concept: undefined >> undefined
Show that `(−1+ sqrt3 i)^3` is a real number.
Concept: undefined >> undefined
Evaluate the following limit:
`lim_(x->7)[((root3x - root3(7)) (root3x + root3(7))) / (x - 7)]`
Concept: undefined >> undefined
Show that `(−1+ sqrt3 i)^3` is a real number.
Concept: undefined >> undefined
Show that `(−1 + sqrt(3) i)^3` is a real number.
Concept: undefined >> undefined
Show that `(-1 + sqrt3"i")^3` is a real number.
Concept: undefined >> undefined
Evaluate the following:
`i^35`
Concept: undefined >> undefined
Show that `(-1 + sqrt3i)^3` is a real number.
Concept: undefined >> undefined
Show that `(- 1 + sqrt3 i)^3` is a real number.
Concept: undefined >> undefined
Simplify the following and express in the form a+ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
Concept: undefined >> undefined
Mean and standard deviation of two distributions of 100 and 150 items are 50, 5 and 40, 6 respectively. Find the mean and standard deviations of all the 250 items taken together.
Concept: undefined >> undefined
For certain bivariate data, the following information is available.
| X | Y | |
| Mean | 13 | 17 |
| S.D. | 3 | 2 |
| Size | 10 | 10 |
Obtain the combined standard deviation.
Concept: undefined >> undefined
For a distribution, mean = 100, mode = 127 and SD = 60. Find the Pearson coefficient of skewness Skp.
Concept: undefined >> undefined
The mean and variance of the distribution is 60 and 100 respectively. Find the mode and the median of the distribution if Skp = – 0.3.
Concept: undefined >> undefined
Find Skp for the following set of observations.
17, 17, 21, 14, 15, 20, 19, 16, 13, 17, 18
Concept: undefined >> undefined
Draw scatter diagram for the data given below and interpret it.
| x | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
| y | 32 | 20 | 24 | 36 | 40 | 28 | 38 |
Concept: undefined >> undefined
For the following data of marks of 7 students in physics (x) and Mathematics (y), draw scatter diagram and state the type of correlation.
| x | 8 | 6 | 2 | 4 | 7 | 8 | 9 |
| y | 6 | 5 | 1 | 4 | 4 | 7 | 8 |
Concept: undefined >> undefined
Draw scatter diagram for the data given below. Is there any correlation between Aptitude score and Grade points?
| Aptitude score | 40 | 50 | 55 | 60 | 70 | 80 |
| Grade points | 1.8 | 3.5 | 2.8 | 1.7 | 2.8 | 3.2 |
Concept: undefined >> undefined
