Math Questions from Nov 19,2024

Browse the Math Q&A Archive for Nov 19,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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H6 Se lanza una moneda 100 veces. ¿Cuál es la probabilidad de que el \( 25 \% \) de las veces se obtenga cara? A) \( \frac{1}{4} \) B) \( \left(\frac{1}{2}\right)^{25} \) C) \( \left(\frac{1}{2}\right)^{75} \) D) \( \binom{100}{25} \cdot\left(\frac{1}{2}\right)^{100} \) E) \( \binom{100}{25} \cdot\left(\frac{1}{4}\right)^{25} \cdot\left(\frac{3}{4}\right)^{75} \) On another day, Martin bought \( 12 \frac{3}{5} \) pounds of grapes for a picnic. His friend bought \( \frac{3}{8} \) of that amount. Use compatible fractions to estimate how many pounds of grapes Martin's friend bought. \( 12 \frac{3}{5} \rightarrow \) Select an answer \( \hat{\text { s }} \) \( \frac{3}{8} \rightarrow \) Select an answer \( \hat{v} \) Martin's friend bought about Select an answer \( \hat{v} \) pounds of grapes. In a circle of radius 9 furlongs, the length of the arc subtended by a central angle of \( 105^{\circ} \) is approximately: Ive \( 30>-2+8 x \) (3) \( \frac{9}{9 \frac{1}{12}-\frac{k}{9}} \) Examine the division problem. \( \frac{15}{4} \div\left(-\frac{5}{8}\right) \) To solve the problem, you first must find the reciprocal of the second fraction. Which reciprocal fraction should you use? \( -\frac{8}{5} \) \( -\frac{5}{1} \) \( -\frac{1}{5} \) \( -\frac{5}{8} \) L) \( (-4)(+4)\left(-\frac{1}{3}\right)\left(+\frac{1}{3}\right) \) Type your answer \( \begin{array}{l}\text { Evaluate }(f+g)(x) \text { if } f(x)=-3 x^{2} \text { and } \\ g(x)=4 x-3 \text { when } x=3\end{array} \) 0 Three clients need a rough estimate of what their houses will cost them with similar fittings. To develop a property, the \( R / \mathrm{m}^{2} \) (rand per square meter) usually shows that the larger the house the cheaper the cost per square meter that a customer pays. The floor area of client A's house is three times larger than client B's and the floor area of client \( C \) is half the size of client \( A \). The total floor area of all the houses is \( 682 \mathrm{~m}^{2} \). a) Calculate the floor area of each house. 1) \( \int \frac{d x}{x^{2}+4 x+9} \)
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