Consider the hypotheses: \( H_{0}: \mu=75 \) against \( H_{1}: \mu<75 \). Assume that a random sample of 100 observations yielded a sample mean of 70 and that the population standard deviation is 30 . The \( p \)-value of the test is

Vuelve a escribir la ecuación completando el cuadrado. \( x^{2}+3 x-28=0 \)

6. Simplify \( -\frac{14 x^{2} y}{21 x} \) when \( x \neq 0 \)

Resolver las siguientes de cada una. Dichas div a) \( \left(-3 x+2 x^{3}\right. \) b) \( \left(x^{4}-2 x-\right) \)

33. The equation of the line perpendicular to the line \( 2 x-y+3=0 \) and which forms with the Cartesian axes in the first quadrant a triangle of area 1 is: A. \( y=\frac{-x-2}{2} \) B. \( y=\frac{2+x}{2} \) C. \( y=\frac{2-x}{2} \) D. \( y=2 x-1 \) E. \( y=-2 x-1 \)

D) \( \left(5 x^{2}-2 y\right)^{2} \quad \) b) \( (5 x-y) \cdot(5 x+y) \)