Questions in mathematics

Questions in mathematics

📝 Answered - What is the domain of [tex]$y=\log _5 x$[/tex]? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers

📝 Answered - The function $h(x)$ is given below. $h(x)=\{(3,-5),(5,-7),(6,-9),(10,-12),(12,-16)\}$ Which of the following gives $h^{-1}(x)$ ? A. $\{(3,5),(5,7),(6,9),(10,12),(12,16)\}$ B. $\{(-5,3),(-7,5),(-9,6),(-12,10),(-16,12)\}$ C. $\{(3,-5),(5,-7),(6,-9),(10,-12),(12,-16)\}$ D. $\{(5,3),(7,5),(9,6),(12,10),(16,12)\}$

📝 Answered - 10 - 16 Divided by two

📝 Answered - Multiply. Write your answer in simplest form. $\frac{5}{12} \times \frac{4}{5}$

📝 Answered - Are there any outliers? A. Yes, the outlier(s) is/are 36. B. No, there are no outliers. Describe the shape of the distribution based on the results from parts (b) and (c). Skewed right Bell-shaped Skewed left Uniform Determine the sample standard deviation and interquartile range. The standard deviation is $13.60$ and the interquartile range is $17.50$. What is the probability a randomly selected student fails the homework (scores less than 70)?

📝 Answered - As students were exiting the student center on campus, Vicki took note of whether they were listening to headphones. The table shows results that she collected. Based on Vicki's data, what is the probability that a randomly selected student will have headphones in their ears when exiting the student center? Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth (if necessary). Data for Students Exiting the Student Center | | Number of Students | | :-------------- | :------------------- | | Headphones | 28 | | No Headphones | 50 |

📝 Answered - Expand the expression. [tex]\(\log_2(3x)\)[/tex]

📝 Answered - Given [tex]f(x)=-x-2[/tex], find [tex]f(-6)[/tex].

📝 Answered - Taylor bought 13 cupcakes and muffins from the bakery. Cupcakes cost $2.00 and muffins cost $1.50. Taylor spent a total of $22.00. How many cupcakes (c) and how many muffins (m) did she buy? [tex]\begin{array}{c} c+m=13 \\ 2 c+1.5 m=22 \end{array}[/tex] [?] cupcakes [ ] muffins

📝 Answered - Determine the integral that can be used to find the arc length of the curve defined by the parametric equations [tex]x(t)=-4 \sqrt{3 t}[/tex] and [tex]y(t)=4 \sqrt{2 t+4}[/tex] from [tex]1 \leq t \leq 2[/tex].