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Questions in mathematics

[Done] Calculate the weighted mean by weighing each price by the quantity consumed: | Food items | Quantity consumed | Price per kg | |------------|-------------------|--------------| | Flour | 500 | 1.50 | | Ghee | 200 | 25.00 | | Sugar | 30 | 4.50 | | Potato | 15 | 0.50 | | Oil | 40 | 5.50 |

[Done] Mrs. Burke's biology class has 103 students, classified by academic year and major, as illustrated in the table. | Academic Year | Biology Majors | Non-Biology Majors | |---|---|---| | Freshmen | 15 | 11 | | Sophomores | 11 | 19 | | Juniors | 11 | 15 | | Seniors | 10 | 11 | Step 1 of 2: What is the probability that she selects a non-biology major, given that she chooses randomly from only the seniors? Enter a fraction or round your answer to 4 decimal places, if necessary.

[Done] e.) $(a+b)^2 \times(a+b)^{-2}$

[Done] Write the next three steps for the given pattern. $\begin{array}{l} 1 \times 1=1 \\ 11 \times 11=121 \\ 111 \times 111=12321 \\ 1111 \times 1111=1234321 \\ 11111 \times 11111=123454321 \end{array}$

[Done] $\frac{625 \times 5^{-50}}{25^2}$

[Done] Find the sum, express it in the simplest form [tex](2y^2+9y+4) + (-3y^2-3y-9)[/tex]

[Done] The table shows the height of the tree that Margo planted over an 11-month period. | | Growth of Margo's Tree | | :---- | :----------------------- | | Month | Height of Tree (ft) | | 1 | 1.4 | | 3 | 1.5 | | 5 | 2.1 | | 7 | 2.7 | | 9 | 3.0 | | 11 | 1.8 | Which statement can be supported by the information in the table? A. The tree increased in height each month during the entire 11-month period. B. The tree decreased in height each month during the entire 11-month period. C. The tree increased in height each month until the time period between month 9 and month 11. D. The tree decreased in height each month until the time period between month 9 and month 11.

[Done] Work out the value of $c$ $\frac{2}{5}=\frac{6}{c}$

[Done] Find the least common denominator for these fractions. Enter your answer in the space provided. $\frac{3}{9}$ and $\frac{2}{5}$

[Done] A solid right pyramid has a square base with an edge length of $x cm$ and a height of $y cm$. Which expression represents the volume of the pyramid? A. $\frac{1}{3} x y cm^3$ B. $\frac{1}{3} x^2 y cm^3$ C. $\frac{1}{2} x y^2 cm^3$ D. $\frac{1}{2} x^2 cm^2$