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Questions in mathematics

[Done] Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way table. | | 7th | 8th | Total | | :---- | :---- | :---- | :------ | | Drama | 11 % | 15 % | 26 % | | Action | 25 % | 19 % | 44 % | | Comedy | 14 % | 16 % | 30 % | | Total | 50 % | 50 % | 100 % | Which statements are correct? Check all that apply. A. More 7th graders were surveyed than 8th graders. B. The marginal relative frequency for action movies is [tex]$44 \%$[/tex]. C. The joint relative frequency for 8th graders who like comedy movies is 16[tex]$\%$[/tex]. D. Most students prefer drama movies. E. Half or the 7th graders prefer action movies.

[Done] Graph the function. [tex]$h(x)=x^2+2 x$[/tex]

[Done] A regular polygon has each interior angle equal to 120°. How many sides does it have? a. 6 b. 5 c. 8 d. 10

[Done] totent be namply ancas: 754 - $-\infty$ 4 then $=4$

[Done] Which of these shows the result of using the first equation to substitute for $y$ in the second equation, then combining like terms? [tex] \begin{array}{l} y=3 x \\ 3 x+2 y=18 \end{array} [/tex] A. [tex]$3 x=18$[/tex] B. [tex]$3 y=18$[/tex] C. [tex]$9 x=18$[/tex] D. [tex]$6 x=18$[/tex]

[Done] \frac{3}{4}+\frac{5}{9}=\frac{}{36}=

[Done] Figure [R] was rotated about the origin [(0,0)] by [270^\circ] clockwise. Which figure is the image of [R]? A. A coordinate plane with 2 quadrilaterals. Quadrilateral R has vertices at (0, 7), (7, 4), (5, 4), and (5, 2). Quadrilateral R is rotated to form quadrilateral A. Quadrilateral A has vertices at (7, 0), (4, negative 7), (4, negative 5), and (2, negative 5). B. A coordinate plane with 2 quadrilaterals. Quadrilateral R has vertices at (0, 7), (7, 4), (5, 4), and (5, 2). Quadrilateral R is rotated to form quadrilateral B. Quadrilateral B has vertices at (0, negative 7), (5, negative 2), (5, negative 4), and (7, negative 4).

[Done] Which functions have a vertex with an [tex]$x$[/tex]-value of 0? Select three options. [tex]$f(x)=|x|$[/tex] [tex]$f(x)=|x|+3$[/tex] [tex]$f(x)=|x+3|$[/tex] [tex]$f(x)=|x|-6$[/tex] [tex]$f(x)=|x+3|-6$[/tex]

[Done] If $P(A)=0.60$ and $P(B)=0.20$, then $A$ and $B$ are independent events if A. $P(A \text{ or } B)=0.12$ B. $P(A \text{ or } B)=0.80$ C. $P(A \text{ and } B)=0.12$ D. $P(A \text{ and } B)=0$

[Done] $\sin 30^{\circ}=0.5$ Using the equality above, copy and complete the following: $\sin ^{-1}(0.5)=$