Question 47 An architect wants to determine how the number of stories in a building affects the height (in feet) of the building. Using information gathered from 15 randomly selected tall buildings, the architect constructs the following least squares line: \[ \hat{y}=206.4+9.3 x \] Using this least squares line, how tall would you expect a 45 -story building to be? a) 212.1 ft b) 624.9 ft c) 260.7 ft d) 578.4 ft e) None of the above

3) \( \begin{array}{c}2 x_{1}+x_{2}+x_{3}=-4 \\ x_{1}+2 x_{2}-3 x_{3}=15 \\ x_{1}-x_{2}-x_{3}=1\end{array} \)

Find the value of \( k \) that makes \( f(x) \) continuous at \( x=0 \) \[ f(x)=\left\{\begin{array}{ll}\frac{-5 x}{x^{2}-2 x} & \text { if } x \neq \\ k & \text { if } x=\end{array}\right. \] \( k=\square \)

10.) \( 36 x^{2}+48 x+16=12 \)

Trabajando 8 horas al día, 2.500 obreros de una industria ensambladorà de motos, producen 500 motos en 30 días. ¿Cuántos días son necesarios para que 1.200 trabajadores produzcan 450 motos, trabajando 10 horas al día?

1AREA \( m=\frac{y_{2}-y_{1}}{x-x_{1}} \) Con esta formula \( y-y_{1}=m\left(x-x_{1}\right) \) Hallar la ecuacion de la recta que pasa por los puntos \( M\left(-\frac{3}{2}, \frac{3}{2}\right) \) y \( P\left(2, \frac{1}{3}\right) \) No hay que graficar