When you use the Distance Formula, does it matter which point you identify as \( \left(x_{1}, y_{1}\right) \) and which point you identify as \( \left(x_{2}, y_{2}\right) \) ? Explain your reasoning. Yes because \( y_{1}^{\prime} y^{\prime} \) detirmines

Solve the system of equations, Glve your answer as an ordered pair \( (x, y) \) \( -6 x+4 y=-3 \) One solution: No solution Infinite number of solutions Question Helo:

a) \( (-26+36 \div 4) \cdot 2-174 \div(-7+1) \) ROCEDIMIENTO: \( (-26+9) \cdot 2-174 \div(-7+1) \) \( (-17) \cdot 2-174 \div(-7+1) \) \( -17 \cdot 2-174 \div(-6) \) \( -34-174 \div(-6) \) \( -34-c-29 \) \( -34+29 \) -5

[5] Encuentre una función \( y=f(x) \) cuya segunda derivada sea \( y^{\prime \prime}=12 x-2 \) en cada punto \( (x, y) \) sobre la gráfica y \( y= \) \( -x+5 \) sea tangente a la gráfica en el punto de correspondiente a \( x=1 \). [6] Considere el PVI

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 147 and a standard deviation of about 55 . Assume forty-three individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of \( \bar{x} \) ? \( \bar{x}-\mathrm{N} \). b. For the group of 43 , find the probability that the average number of friends is more than 150 . c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? No Yes

A basket containe three ( 3 ) types of frutts, pincapples, mangos and avocedos, all the fruits cumbined weighs \( \frac{50}{3} \mathrm{~kg} \). If \( \frac{13}{7} \mathrm{~kg} \) are pinenpples, \( \frac{11}{9} \mathrm{~kg} \) are mengos and the rest are ayocados. What is the weight of the ayocados in the basket?