La \( 1^{2} \) A e la \( 1^{2} \) B sono costituite rispettivamente da 28 e 30 studenti. Il professore di fisica decide di divi dere gli studenti di ciascuna classe in gruppi, in modo che in entrambe le classì i gruppi siano format dallo stesso numero dí studenti. Da quanti studenti sarà costituito al massimo ciascun gruppo? Quant studenti dovrebbero esserci in meno in \( 1^{2} \mathrm{~A} \) per costituire gruppi di 6 ragazzi ciascuno?

Calcule: \( \sum_{x=8}^{68}\left(120+6 x^{2}-x^{3}\right) \) (A) -4358468 (B) -4853648 (C) -4653854 (D) -4583864

Solve the system of equations by the addition method. \( \left\{\begin{array}{r}3 x-4 y=7 \\ 2 x+12 y=1\end{array}\right. \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is \( \square \). (Simplify your answer. Type an ordered pair.) C. There are infinitely many solutions; \( \{(x, y) \mid 3 x-4 y=7\} \) or \( \{(x, y) \mid 2 x+12 y=1\} \). Tho solution; 0 or \( \varnothing \).

The mean life of a television set is 119 months with a standard deviation of 14 months. If a sample of 74 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 1.1 months? Round your answer to four decimal places.

\( \frac { a ^ { 3 } - 125 } { a - 5 } = a ^ { 2 } + \square a + 25 \)

Solve the following system of equations. \[ \begin{array}{l} 4 x+4 y-4 z=-16 \\ y+5 z=-41 \\ 3 x-3 y\end{array} \] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution is ( (Type integers or simplified fractions.) B. There are infinitely many solutions. The solution set is \( \{(x, y, z) \mid 4 x+4 y-4 z=-16\} \) C. The solution set is \( \varnothing \).