A plane has a baggage mass restriction of 22 kg (to 2 s .f.) per person. One traveller checls in two bags. Their masses are 10 kg (to 1 s.f.) and 11 kg (to \( 2 \mathrm{~s} . \mathrm{f} \).). a Calculate the combined mass of the two bags to an appropriate degree of accuracy. b Is there a possibility that the traveller's baggage is heavier than allowed? Give a convincing argument for your answer.

Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=61 \text { and } \sigma=10 ; n=64 \]

Solve the system of equations by the substitution method: \( \left\{\begin{array}{l}4 x+y+6=-2+7 y-x \\ 2 x+2 x=y+5\end{array}\right. \) 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.) B. There are infinitely many solutions; \( \{(x, y) \mid 4 x+y+6=-2+7 y-x\} \) or \( \{(x, y) \mid 2 x+2 x=y+5\} \). There is no solution; \( \} \) or \( \varnothing \).

\( f(x)=\left\{\begin{array}{ll}\frac{x^{2}-x-12}{x^{2}-3 x-4} & \text { for } x \neq 4 \\ k & \text { for } x=4\end{array}\right. \)

1. Encuentra la tabla y posteriormente la grafica para la siguiente función cuadrática: \( f(x)=x^{2}-2 x-3 \)

Encontrar \( \int\left[\frac{t}{t^{4}+10} \mathbf{i}+\frac{1-\cos 3 t}{4} d t \mathbf{j}\right] d t \)