Questions in mathematics

Questions in mathematics

📝 Answered - Kenya solved the equation below: [tex]$-6(x-2)+3 x=-3(x+3)+21$[/tex] What is the solution to Kenya's equation? A. -4 B. 12 C. no solution D. infinitely many solutions

📝 Answered - A leap year is selected at random. What is the probability that it will contain 53 Sundays? a) $\frac{1}{7}$ b) $\frac{2}{7}$ c) $\frac{53}{7}$ d) $\frac{53}{365}$

📝 Answered - Graph the following linear equations on a single sheet of graph paper. Label each line with its respective equation in the format y = mx + b, where m represents the slope and b represents the y-intercept. * y=9x+8 * y = -2x+4 * 2y=x-6 * -5y=x+4

📝 Answered - The graph of the function $f(x)=(x+2)(x+6)$ is shown below. Which statement about the function is true? A. The function is positive for all real values of $x$ where $x>-4$. B. The function is negative for all real values of $x$ where $-6 < x < -2$. C. The function is positive for all real values of $x$ where $x<-6$ or $x>-3$. D. The function is negative for all real values of $x$ where $x<-2$.

📝 Answered - Two fair cubes, numbered 1 through 6, are tossed at the same time in order to advance on a game board. What is the probability that a 6 is rolled on both number cubes? A. [tex]$\frac{1}{30}$[/tex] B. [tex]$\frac{1}{6}$[/tex] C. [tex]$\frac{1}{36}$[/tex] D. [tex]$\frac{1}{3}$[/tex]

📝 Answered - Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples. | Survey Data | |:----------|:---:|:---:|:---:|:---:|:---:| | Sample 1 | 4 | 5 | 2 | 4 | 3 | | Sample 2 | 2 | 2 | 6 | 5 | 7 | | Sample 3 | 4 | 6 | 3 | 4 | 1 | | Sample 4 | 5 | 2 | 4 | 3 | 6 | Using his four samples, between what two numbers will Ardem's actual population mean lie? A. 1 and 6 B. 2 and 5 C. 3.6 and 4.4 D. 4.0 and 4.4

📝 Answered - Solve the inequality for [tex]$x$[/tex]. [tex]$8+\frac{x}{6}>2$[/tex] Simplify your answer as much as possible.

📝 Answered - How many liters are in 1 milliliter? 1 mL=[?] L 100 L or [tex]$10^2 L$[/tex] [tex]$1 / 1000 L$[/tex] or [tex]$10^{-3} L$[/tex] 1000 L or [tex]$10^3 L$[/tex] [tex]$1 / 10 L$[/tex] or [tex]$10^{-1} L$[/tex]

📝 Answered - Identify the equation as a conditional equation, contradiction, or identity. [tex]5 m+9=-2(-4 m-3)-5[/tex]

📝 Answered - Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is the number of compounding periods per year, t is time in years, and [tex]$A$[/tex] is the account balance. | P | r | compounded | t | | --------- | ------- | ---------- | --- | | $11,663 | 9.7 % | Daily | 3 | The account balance is approximately $ [ ] . (Simplify your answer. Do not round until the final answer. Then round to two decimal places as needed.)