Functions(p-1) — Maths (commerce) STD 11 Commerce / Arts — Question

Two-thirds of the students in a class are boys and the rest are girls. It is known that the probability of a girl getting first class is 0.25 and that of a boy getting is 0.28 . Find the probability that a student chosen at random will get first class.

Find the equations of a line containing the point A(3, 4) and make equal intercepts on the co-ordinate axes.

The letters of the word LOGARTHM are arranged at random. Find the probability that: Start with a vowel and ends with a consonant.

Find k if following functions are continuous at the points indicated against them.

\begin{aligned}
& \mathrm{f}(\mathrm{x})=(1+k x)^{\frac{1}{x}}, \text { for } \mathrm{x} \neq 0 \\
& =e^{\frac{3}{2}}, \text { for } \mathrm{x}=0, \text { at } \mathrm{x}=0
\end{aligned}

How many four-digit numbers will not exceed 7432 if they are formed using the digits 2, 3, 4, 7 without repetition?

Differentiate the following functions w.r.t. x. : \begin{equation}
\frac{x}{x+1}
\end{equation}