Questions in mathematics

Questions in mathematics

📝 Answered - Liz has a bag containing 15 counters. The table below shows the number of counters of each color in the bag. As a part of a probability experiment for science club, Liz randomly picks a counter from the bag then replaces it. She repeats this 450 times. | Counter Colors | Number of Counters In The Bag | | -------------- | ------------------------------ | | White | 3 | | Red | 8 | | Blue | 3 | | Black | 1 | Liz randomly picks a counter out of the bag. What is the probability that it will be red? Part A Show your work and explain your answer. Part B Predict the number of times out of 450 Liz will pick a red counter.

📝 Answered - A political polling agency predicts candidate A will win an election with $54 \%$ of the votes. Their poll has a margin of error of $4 \%$ both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, $x$, for candidate $A$? A. $50 \leq x \leq 58$ B. $x \geq 50$ or $x \leq 58$ C. $x \geq 52$ or $x \leq 56$ D. $52 \leq x \leq 56$

📝 Answered - Express 30 mi/h in kilometers per hour. Round to the nearest hundredth if needed.

📝 Answered - Theresa has $708 in her account and wishes to throw a party. She plans to include the following: | Purchase | Cost ($) | | :---------- | :------- | | Decorations | 76.92 | | Catering | 150.66 | | Musicians | 242.15 | | Refreshments | 123.36 | | Venue | 260.47 | When Theresa makes the calculations, she finds that she cannot afford everything that she would like to have. What is the cheapest aspect of the party that she can eliminate to keep from overdrawing her account? A. Venue B. Musicians C. Catering D. Refreshments

📝 Answered - Which graph represents the solution set to this system of equations? [tex]$-x+2 y=6 \text { and } 4 x+y=3$[/tex]

📝 Answered - Draw a rate graph of the given table of values on the grid below. | Number of Packets of Rice | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | :----------------------- | :---- | :---- | :----- | :----- | :----- | :----- | :----- | | Amount in Kina | 4.20 | 8.40 | 12.60 | 16.80 | 21.00 | 25.20 | 29.40 |

📝 Answered - Determine if the following function [tex]f(x)=2 x(x+1)(x-2)[/tex] has line symmetry, point symmetry or neither?

📝 Answered - Which of the following is the simplified form of [tex]$\sqrt[7]{x} \cdot \sqrt[7]{x} \cdot \sqrt[7]{x}$[/tex]? A. [tex]$x^{\frac{3}{7}}$[/tex] B. [tex]$x^{\frac{1}{7}}$[/tex] C. [tex]$x^{\frac{3}{21}}$[/tex] D. [tex]$\sqrt[21]{x}$[/tex]

📝 Answered - Sketch a graph of the function [tex]f(x)=2 \sin \left(\frac{\pi}{2} x\right)-3[/tex]

📝 Answered - Evaluate the expression: $-5+28^0+6^2$. A) 59 B) 32 C) 35 D) 8