Questions in mathematics

Questions in mathematics

[Free] Find the measures of central tendencies (mean, median, mode). The scores of 9 students in a 100-item test are 67, 70, 49, 95, 40, 97, 62, 54, and 42.

[Free] 1. Price of a pen and a notebook together is 25 rupees. Price of 4 pens and a notebook is 40 rupees. a. What is the price of 3 pens? b. What is the price of a notebook? 2. Look at the equations given below: x + 2y = 27 2x + y = 24 a. What is the value of 3x + 3y? b. What is the value of x + y? 3. One side of a rectangle is 5 cm more than the other side. Perimeter of the rectangle is 34 cm. a. If the smaller side is x and the other is y, write the equations. b. Find the lengths of the sides.

[Free] $\frac{4}{6} \div \frac{3}{12}$

[Free] Write the expression as an exponent with a base 2 and find its value: [tex]$16 \cdot 32$[/tex]

[Free] Elige la forma simbólica que represente la siguiente afirmación formada con las proposiciones lógicas p, q, r que se muestran. [tex]\left.\begin{array}{l}\text { p.: Estálloviendo } \\ \text { q: Iré al cine } \\ \text { r. Tengo tiempo }\end{array}\right] \xrightarrow{\text { Si no está lloviendo y tengo tiempo, entonces iré al cine }}[/tex] A. [tex]$\neg(r \vee q) \rightarrow q$[/tex] B. [tex]$(-p \wedge r) \rightarrow q$[/tex] C. [tex]$(q \rightarrow r) \wedge(r \rightarrow p)$[/tex] D. [tex]$q \leftrightarrow(r \wedge \neg p)$[/tex]

[Free] Find the simplified quotient: [tex]$\frac{\frac{y^2+y}{y^2-2 y}}{4 y+4}$[/tex]

[Free] Select the correct answer. Points $A$ and $B$ lie on a circle centered at point $O$. If $\frac{\text { length of } \widehat{A B}}{\text { radius }}=\frac{\pi}{10}$ what is the ratio of the area of sector $A O B$ to the area of the circle? A. $\frac{1}{10}$ B. $\frac{\pi}{10}$ C. $\frac{1}{20}$ D. $\frac{\pi}{20}$

[Free] $4 \frac{1}{6} \times 6 \frac{2}{5}$

[Free] Which values are within the range of the piecewise-defined function? [tex]f(x)=\left\{\begin{array}{ll}2 x+2, & x\ \textless \ -3 \\ x, & x=-3 \\ -x-2, & x\ \textgreater \ -3\end{array}\right.[/tex] y=-6 y=-4 y=-3 y=0 y=1 y=3

[Free] The functions f and g are defined by the following tables. Use the tables to evaluate the given composite function. [tex]f^{-1}(g(7))[/tex] | x | f(x) | |---|---| | -4 | 1 | | 0 | 4 | | 1 | 5 | | 6 | -1 | | x | g(x) | |---|---| | -5 | -5 | | 1 | -2 | | 6 | 2 | | 7 | -1 | [tex]f^{-1}(g(7))=\square[/tex]