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Home Question Bank Math Archive 2024 December 13

Math Questions from Dec 13,2024

Browse the Math Q&A Archive for Dec 13,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Evaluate the expression when \( x-5 \) and \( y=-4 \) \( -15+3 y-3 x-2 y+4 x \) 16 A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 14 mature female pink seaperch collected in fall has a mean length of 122 millimeters and a standard deviation of 14 millimeters. A sample of 13 mature fernale pink seaperch collected in winter has a mean length of 111 millimeters and a standard deviation of 12 millimeters. At \( \alpha=010 \), can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below (a) Identify the claim and state \( \mathrm{H}_{0} \) and \( \mathrm{H}_{\mathrm{a}} \). Which is the correct claim below? A. "The mean length of mature female pink seaperch is different in fall and winter" B. "The mean length of mature female pink seaperch is the same in fall and winter" C. The mean length of mature lemale pink seaperch is greater in the fall than in the winter" D. The mean length of mature fermale pink seaperch is greater in the winter than in the fall." \( x^{3}-5 x^{2}+2 x+12=0 \) Solutions: \( x=\square \) Let \( f(x)=\frac{4}{\left(3 x^{2}+3 x-6\right)^{3}} \). Find \( f^{\prime}(x) \) \( f^{\prime}(x)=\square \) Suppose that Find \( \frac{d y}{d x} \) \( \frac{d y}{d x}=1 \) Find the domain of the function. \[ f(x)=\frac{4-x}{x^{2}-9 x} \] la curva \( y=x^{2} \) se gira alrededor del eje \( x \) desde \( x=0 \) hasta \( x=2 \). calcular el volumen del sólido resultante utilizando el método de discos Given the function \( f(t)=2 t^{4}-6 t^{3}-8 t^{2} \); its \( f \)-intercept is its \( t \)-intercepts are \( \square \) En un colegio se observa que por cada 10 mujeres había 7 hombres, además el número de mujeres excede al número de hombres en 45 . ¿Cuál es la nueva relación si se retira 25 parejas? What is the length of minor are SV? \( 20 \pi \) in. \( 28 \pi \mathrm{in} \). \( 40 \pi \mathrm{in} \). \( 63 \pi \mathrm{in} \).
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