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For city $X M=4.5$ booksFor city $Y M=3$ books$\therefore$ More books are read in city $X$.
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Obtain domain, co-domain and range for the following functions :
$(1)$ $f: \mathrm{A} \rightarrow \mathrm{B}, \mathrm{A}=\{-1,0,1\}, \mathrm{B}=\{1,2,3,4,5,6,7\}, f(x)=2 x+5, x \in \mathrm{A}$
$(2)$ $g: \mathrm{A} \rightarrow \mathrm{N}, \mathrm{A}=\{-1,2,3,4\}, g(x)=3 x+5, x \in \mathrm{A}$
$(3)$ $h: \mathrm{P} \rightarrow \mathrm{S}, \mathrm{P}=\{-2,-1,0,1\}, \mathrm{S}=\{-4,-3,-2,-1\}, h(x)=x-2, x \in \mathrm{P}$
$(4)$ $k: \mathrm{A} \rightarrow \mathrm{Z}, \mathrm{A}=\left\{-\frac{1}{2}, 0, \frac{1}{2}\right\}, k(\mathrm{x})=4 x^{2}+3, x \in \mathrm{A}$
→$(1)$ $f: \mathrm{A} \rightarrow \mathrm{B}, \mathrm{A}=\{-1,0,1\}, \mathrm{B}=\{1,2,3,4,5,6,7\}, f(x)=2 x+5, x \in \mathrm{A}$
$(2)$ $g: \mathrm{A} \rightarrow \mathrm{N}, \mathrm{A}=\{-1,2,3,4\}, g(x)=3 x+5, x \in \mathrm{A}$
$(3)$ $h: \mathrm{P} \rightarrow \mathrm{S}, \mathrm{P}=\{-2,-1,0,1\}, \mathrm{S}=\{-4,-3,-2,-1\}, h(x)=x-2, x \in \mathrm{P}$
$(4)$ $k: \mathrm{A} \rightarrow \mathrm{Z}, \mathrm{A}=\left\{-\frac{1}{2}, 0, \frac{1}{2}\right\}, k(\mathrm{x})=4 x^{2}+3, x \in \mathrm{A}$
The sum and the product of the three consecutive terms of a $GP$. are $9.5$ and $27$ respectively. Find the three terms of the $GP.$
→The distribution of number of typing errors per page in a book is given below. Find the coefficient of skewness by Karl Pearson's method.
→| No. of typing errors | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| No. of pages | $10$ | $15$ | $23$ | $9$ | $23$ | $12$ | $8$ |
Present the following data in an appropriate tabular form. A bank receives $2000$ applications as a response to the job advertisement. Of the total applicants, $50\%$ were graduates, $40\%$ were post graduates and remaining $10\%$ have professional degree. Among the graduates, $60\%$ were males and of them, $25\%$ were married. $40\%$ female graduates were married. Among the post graduates, $60\%$ were males and $40\%$ of them were married. Among post graduate
females, $50\%$ were married. $30\%$ of the females had professional degree and of them, $60\%$ were married. The number of married and unmarried males having professional degree was equal.
→females, $50\%$ were married. $30\%$ of the females had professional degree and of them, $60\%$ were married. The number of married and unmarried males having professional degree was equal.
If the three positive numbers $k + 4, 4k -2$ and $7k + 1$ are in $G.P.$, find $K.$
→The runs scored by a cricket players in $10$ matches are respectively $52,38,70,42,40,95,19,50,32$ and $62$ . Find the standard deviation and the coefficient of variation
→In a housing scheme a customer has to pay the cost of a house in $20$ annual instalments. He has to pay $Rs. 1000$ in the first instalment and there after he has to pay double amount of the previous instalment. How much amount will he pay in $10th$ yearly?
→Expand the following: $\left(2 x+\frac{1}{y}\right)^{6}$
→Represent the following data through a bar diagram :
→| Stream | Arts | Commerce | Science | Engineering | Other |
| Number of students | $5900$ | $10,200$ | $6000$ | $4500$ | $8000$ |
A person donates $Rs. 1000$ in January, $2017$ and $Rs. 2000$ in February, $2017$. Thus every month he donates double the amount than the previous month. How much can he donate in January $2017?$
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