Questions in mathematics

Questions in mathematics

📝 Answered - Identify the formula that can be used to find the athlete's salary, in thousands of dollars, for year $n$? $a_n=400(0.05)^{n-1}$ $a_n=400(1.05)^{n-1}$ $a_n=400(0.05)^n$ $a_n=400(1.05)^n$

📝 Answered - Lines $a$ and $b$ are perpendicular. If the slope of line $a$ is 3, what is the slope of line $b$? A. -3 B. 3 C. $-\frac{1}{3}$ D. $\frac{1}{3}$

📝 Answered - Karen took three samples from a population of students to measure their average study time. | Sample | Predicted Mean | Actual Mean | | -------- | -------------- | ----------- | | Sample 1 | 34 | 28 | | Sample 2 | 15 | 28 | | Sample 3 | 29 | 28 | Compute the variation of each predicted population mean from the sample means in the table. Sample 1: Sample 2: Sample 3:

📝 Answered - Select the correct answer. Identify the expression equivalent to $4(x+x+7)-2 x+8-4$ by substituting $x=1$ and $x=2$. A. $6 x+11$ B. $3(x+7)$ C. $2(3 x+16)$ D. $3 x+16$

📝 Answered - Which is equivalent to $(\sqrt[3]{125})^x$? A. $125^{\frac{1}{3} x}$ B. $125^{\frac{1}{3 x}}$ C. $125^{3 x}$ D. $125^{\left(\frac{1}{3}\right)^x}$

📝 Answered - Solve this system of equations using the elimination method. [tex]\begin{array}{l} 3 x-2 y=0 \\ 2 x+y=7 \end{array}[/tex] The solution to the system is ( [ ] , [ ] ).

📝 Answered - Solve for the indicated variable. [tex]L=\frac{1}{4} m v^5 \quad \text { for } m[/tex]

📝 Answered - For what values of [tex]$m$[/tex] does the graph of [tex]$y=3 x^2+7 x+m$[/tex] have two [tex]$x$[/tex]-intercepts? A. [tex]$m\ \textgreater \ \frac{25}{3}$[/tex] B. [tex]$m\ \textless \ \frac{25}{3}$[/tex] C. [tex]$m\ \textless \ \frac{49}{12}$[/tex] D. [tex]$m\ \textgreater \ \frac{49}{12}$[/tex]

📝 Answered - A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 124 randomly selected Southerners were surveyed and found to watch a mean of 3.9 hours of sports per week. In the North, 122 randomly selected people were surveyed and found to watch a mean of 4.5 hours of sports per week. Find a $90 \%$ confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.7 hours per week and the North has a population standard deviation of 1.4 hours per week. Let Population 1 be people who live in the South and Population 2 be people who live in the North. Round the endpoints of the interval to one decimal place, if necessary.

📝 Answered - An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find $y$, the amount of money in the account after $x$ years? (Round money values to the nearest penny.) A. $y=7,746.90(1.02)^x$ B. $y=7,746.90(0.02)^x$ C. $y=7,595.96(1.02)^x$ D. $y=7,595.96(0.02)^x$