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Questions in mathematics

📝 Answered - Consider the unfinished frequency distribution table representing quiz scores in a math class. (a) (4 points) Complete the frequency distribution table below: | Letter Grade | Class Limits | Class Midpoint | Class Frequency | Relative Frequency | Percentage Frequency | |---|---|---|---|---|---| | D | 0-6 | | 5 | | | | C | 7-13 | | 7 | | | | B | 14-20 | | 9 | | | | A | | | 4 | | | (b) (1 point) What is the sample size for this data? (c) (1 point) What is the class width for this grouped data? (d) (2 points) Find [tex]$\bar{x}$[/tex]. Round your answer to a whole number. (e) (2 points) Find [tex]$s$[/tex]. Round your answer to a whole number. (f) (2 points) Find the exact value in reduced fraction for [tex]$s^2$[/tex]. (g) (3 points) Draw the bar chart for this grouped data. Clearly label and mark your graph with letter grade and class frequency. (h) (3 points) Draw pie chart. Clearly label and mark your graph. Show the percentage for each slice of the pie chart and letter grade to name corresponding slice.

📝 Answered - Which is the best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1? Options: A. (0.33, 1) B. (1.33, 1) C. (1.83, 1) D. (2.33, 1)

📝 Answered - How many times is the place value of 7 on the left greater than the place value of 7 on the right in the following numbers? (i) 2,75,372 (ii) 87,28,729

📝 Answered - Aminah had $50. She spent all her money on 5 bags. The cost of each bag was the same. How much did each bag cost?

📝 Answered - Select the correct answer. Evaluate the following expression when [tex]x=-5[/tex] and [tex]y=25[/tex]. [tex]\frac{5|x|-y^3}{x}[/tex] A. 3,120 B. -630 C. 620 D. -3,130

📝 Answered - Choose a linear function for the line represented by the point-slope equation $y-5=3(x-2)$. A. $f(x)=3 x+1$ B. $f(x)=3 x-1$ C. $f(x)=8 x+10$ D. $f(x)=8 x-10$

📝 Answered - Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. | | Democrat | Republican | Total | | :------ | :------- | :--------- | :---- | | County 1 | 4,050 | 2,470 | 6,520 | | County 2 | 3,925 | 6,010 | 9,935 | | County 3 | 2,100 | 5,950 | 8,050 | | Total | 10,075 | 14,430 | 24,505| Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: $\square$ % Democratic residents of County 1: $\square$ % Total Republican residents: $\square$ % Total Democratic residents: $\square$ %

📝 Answered - The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation [tex]h=20-5 t^2$[/tex], where [tex]$t$[/tex] is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?

📝 Answered - Consider the following equation. [tex]f^{(-x)}+4=3 x-1[/tex] Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. A. [tex]x \approx \frac{25}{16}[/tex] B. [tex]x \approx \frac{27}{16}[/tex] C. [tex]z \approx \frac{7}{4}[/tex] D. [tex]x \approx \frac{13}{8}[/tex]

📝 Answered - What are the $x$- and $y$-coordinates of point P on the directed line segment from $K$ to $J$ such that $P$ is $\frac{3}{5}$ the length of the line segment from K to J ? $\begin{array}{l} x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1 \\ y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1 \end{array}$ A. (40,96) B. (85,105) C. (80,104) D. (96,72)