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Questions in Grade College

📝 Answered - Determine the minimum sample size required when you want to be 95​% confident that the sample mean is within one unit of the population mean and sigma equals 12.1. Assume the population is normally distributed.

📝 Answered - Also need help on this one.

📝 Answered - Use the limit definition of the derivative to find [tex]f^{\prime}(x)[/tex] when [tex]f(x)=-3 x^2[/tex] a.) [tex]f^{\prime}(x)=2 x[/tex] b.) [tex]f^{\prime}(x)=-6 x[/tex] c.) [tex]f^{\prime}(x)=0[/tex] d.) [tex]f^{\prime}(x)=-6 x-3 h[/tex]

📝 Answered - A sample proportion of 0.78 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.78. The minimum sample proportion from the simulation is 0.62, and the maximum sample proportion from the simulation is 0.80. The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion? A. (0.72, 0.84) B. (0.64, 0.92) C. (0.74, 0.82) D. [tex]$(0.69,0.87)$[/tex]

📝 Answered - Jada and Tyler attend the same middle school. Jada lives [tex]$\frac{4}{5}$[/tex] miles from the school. Tyler lives [tex]$\frac{3}{4}$[/tex] miles from the school. Choose the number sentence that correctly compares the two distances. A. [tex]$\frac{4}{5}$[/tex] miles [tex]$ \textless \frac{3}{4}$[/tex] miles B. [tex]$\frac{4}{5}$[/tex] miles [tex]$ \textgreater \frac{3}{4}$[/tex] miles C. [tex]$\frac{3}{4}$[/tex] miles [tex]$=\frac{4}{5}$[/tex] miles D. [tex]$\frac{3}{4}$[/tex] miles [tex]$ \textgreater \frac{4}{5}$[/tex] miles

📝 Answered - Select the correct answer. Function [tex]$m$[/tex] is a transformation of the parent quadratic function, [tex]$f(x)=x^2$[/tex]. [tex]$m(x)=x^2+5$[/tex] Which statement is true? A. Function [tex]$f$[/tex] was translated 5 units down to create function [tex]$m$[/tex]. B. Function [tex]$f$[/tex] was translated 5 units left to create function [tex]$m$[/tex]. C. Function [tex]$f$[/tex] was translated 5 units right to create function [tex]$m$[/tex]. D. Function [tex]$f$[/tex] was translated 5 units up to create function [tex]$m$[/tex].

📝 Answered - \begin{tabular}{|r|c|l|} \hline 1. & $3 \times 6$ & \\ \hline 2. & $3 \times 0.6$ & \\ \hline 3. & $4 \times 0.6$ & \\ \hline 4. & $5 \times 0.6$ & \\ \hline 5. & $5 \times 0.2$ & \\ \hline 6. & $5 \times 0.4$ & \\ \hline 7 & $5 \times 0.7$ & \\ \hline \end{tabular}

📝 Answered - 10. [tex]h(x)[/tex] is an even function. Find the values of [tex]a, b, c[/tex], and [tex]d[/tex]. | [tex]x[/tex] | -4 | [tex]b[/tex] | -2 | -1 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---|---|---|---| | [tex]h(x)[/tex] | [tex]a[/tex] | 6 | 5 | 1 | 1 | [tex]c[/tex] | [tex]d[/tex] | 91 |

📝 Answered - Given [tex]$\lim _{x \rightarrow 11} f(x)=-5$[/tex] and [tex]$\lim _{x \rightarrow 11} g(x)=-12$[/tex], evaluate [tex]$\lim _{x \rightarrow 11}[5 f(x)^{11}-2 g(x)]$[/tex].

📝 Answered - In an experiment, these are the variables that you make sure stay the same throughout the experiment. This makes for a fair experiment. A. Control Variable B. Independent Variable C. Dependent Variable