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Questions in Grade High-school

📝 Answered - The table shows the shoe size of 23 students. A student is picked at random. | Shoe Size | Frequency | | --------- | --------- | | 5 | 2 | | 6 | 11 | | 7 | 5 | | 8 | 4 | | 9 | 1 | (a) Work out the probability that the student has a shoe size of 8. (b) Work out the probability that the student has a shoe size of 7 or smaller.

📝 Answered - The vertex of this parabola is at $(5,-4)$. Which of the following could be its equation? A. $y=2(x-5)^2-4$ B. $y=2(x-5)^2+4$ C. $y=2(x+5)^2+4$ D. $y=2(x+5)^2-4$

📝 Answered - The expression $\frac{\log _{\frac{1}{3}} 2}{\log 2}$ is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? A. $\log _{\frac{1}{3}} 2$ B. $\log _{\frac{1}{2}} 3$ C. $\log _2 \frac{1}{3}$ D. $\log _3 \frac{1}{2}$

📝 Answered - Evaluate the following, [tex]$\frac{a^2-b^2}{a-b}+\frac{2 a^2+b}{a+b}$[/tex] where [tex]$a=-1$[/tex] and [tex]$b=3$[/tex].

📝 Answered - What distinguishes active isolated stretching from other stretching exercises? A. the motion of bouncing B. the need for a partner C. the likelihood of injury D. the use of external objects

📝 Answered - Which country was the last to join the Allied Powers? A. Great Britain B. France C. United States D. China

📝 Answered - The axis of symmetry for the graph of the function [tex]$f(x)=3 x^2+b x+4$[/tex] is [tex]$x=\frac{3}{2}$[/tex]. What is the value of [tex]$b$[/tex]? A. -18 B. -9 C. 9 D. 18

📝 Answered - What is the solution to [tex]$\log _2(9 x)-\log _2 3=3$[/tex]? A. [tex]$x=\frac{3}{8}$[/tex] B. [tex]$x=\frac{8}{3}$[/tex] C. [tex]$x=3$[/tex] D. [tex]$x=9$[/tex]

📝 Answered - Which graph shows the solution to the equation $\log _2(3 x-1)=2 $?

📝 Answered - In some bees, thin stripes $(S)$ are dominant over thick stripes $(s)$, and black eyes $(B)$ are dominant over gray eyes $(b)$. Complete a dihybrid cross for parents with the genotypes SsBB and ssBb and determine the likelihood of offspring with the genotype ssBB.