Question
Find the Value of the following using binomial expansion: $(2+\sqrt{5})^{5}+(2-\sqrt{5})^{5}$
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Answer
$1364$
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Changes in the price of share of $5$ companies at Bombay Stock Exchange during an interval of $15$ days are as follows. Present them by a suitable diagram:
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| Price of share $(₹)$ | $40$ | $20$ | $100$ | $80$ | $30$ |
| Price of same share after $15$ days $(₹)$ | $60$ | $30$ | $150$ | $60$ | $10$ |
The following table gives ages of $80$ students selected from a college.
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Age (years)
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$17$ | $18$ | $19$ | $20$ | $21$ | $22$ | $23$ |
|
No. of students
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$11$ | $14$ | $22$ | $15$ | $8$ | $6$ | $4$ |
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Details of production of electric bulb by two well-known companies are as under. Represent them by a pictogram.
→| Year | Production of electric bulbs (in lac units) | |
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| $2015$ | $200$ | $200$ |
The distribution of sales (in thousand tons) of $400$ companies during the year $2014 – 15$ is as follows.
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→Find skewness and its coefficient from these data and state the type of skewness.
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Draw a random sample of $1$ percent students without replacement from 1500 students of a particular college for giving their opinion on college facilities. There are $600$ students in First year $(FY), 500$ students in Second year $(SY)$ and $400$ students of Third year $(TY)$ class in the college. Use the following $40$ three — digit random numbers :
$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
→$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
Find the Value of the following using binomial expansion: $(\sqrt{2}+\sqrt{3})^{6}+(\sqrt{2}-\sqrt{3})^{6}$
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The frequency distribution of profits earned by $150$ companies during the year $2015 – 2016$ is as follows. Find the coefficient of skewness using an appropriate method and state the type of skewness :
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