Todo preguntas y respuestas

A) \( \frac{0}{15} \) 4. ¿Cual de las siguientes expresiones no pertenece a los racionales? \( \begin{array}{llll}\text { A) } 12 & \text { B) } \frac{5}{0} & \text { C) } \frac{0}{7} & \text { D) } 1,23\end{array} \)

3) Si se lanza un dado tres veces, ¿cual es la probabilidad de que las tres veces salga un murnero multiplo de tres? a) \( \frac{1}{X} \)

La función \( f \) está definida por \( f(x)=\frac{7 x+7}{2 x-4} \) para \( x \in \mathbb{R}, x \neq \) ) Encuentre el cero de \( f(x) \). ) Para la gráfica de \( y=f(x) \), Escriba la ecuación de: i) La asíntota vertical ii) La asíntota horizontal ) Encuentre \( f^{-1}(x) \), la inversa de la función \( f(x) \).

7. A ladder 10 m long reaches a window of a house 6 m above the ground. Determine the distance of the foot of the ladder from the house.

The mean weight of pills coming off a drug company's manufacturing line is supposed to be 3.7 grams. If a quality control engineer wants to test that the manufacturing line is working property, what null and altemative hypotheses should the engineer use? \( \begin{array}{ll}\mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu \geq 3.7 \\ \mathrm{H}_{0}: \mu \neq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu<3.7 \\ \mathrm{H}_{0}: \mu \neq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu=3.7 \\ \mathrm{H}_{0}: \mu \geq 3.7 & \mathrm{H}_{\mathrm{a}}: \mu=3.7 \\ \mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu>3.7 \\ \mathrm{H}_{0}: \mu<3.7 & \mathrm{H}_{\mathrm{a}}: \mu-3.7 \\ \mathrm{H}_{0}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu \neq 3.7 \\ \mathrm{H}_{\mathrm{a}}: \mu=3.7 & \mathrm{H}_{\mathrm{a}}: \mu<3.7\end{array} \)

क. कार्यपालिकाले कसरी कानुनको पालना गर्दछ ?

A college profersor reads a newspaper article that claims that \( 57 \% \) of college students are women. The profersor wonders if that's true. Find the null and alternative hypotheses that would be used to test the statement in the newspaper article. \( \begin{array}{ll}\mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \geq 0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \leq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57 \\ \mathrm{H}_{0}: p>0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \neq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p<0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57\end{array} \)

uestāo 6 Genesildo deve escolher uma senha para seu celular. Sabendo que a senha deverá ter 6 algarismos, quantas possibilidades Genesildo tem para escolher?

A college professor reads a newspaper article that claims that \( 57 \% \) of college students are women. The professor thinks that the percentage is actually higher than that. Find the null and alternative hypotheses that would be used to test the professor's claim. \( \begin{array}{ll}\mathrm{H}_{0}: \mu=0.57 & \mathrm{H}_{\mathrm{a}}: \mu \neq 0.57 \\ \mathrm{H}_{0}: p \neq 0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p \neq 0.57 \\ \mathrm{H}_{0}: \mu \neq 0.57 & \mathrm{H}_{\mathrm{a}}: \mu=0.57 \\ \mathrm{H}_{0}: p=0.57 & \mathrm{H}_{\mathrm{a}}: p>0.57 \\ \mathrm{H}_{0}: p>0.57 & \mathrm{H}_{\mathrm{a}}: p=0.57 \\ \mathrm{H}_{0}: \mu=0.57 & \mathrm{H}_{\mathrm{a}}: \mu>0.57 \\ \mathrm{H}_{0}: \mu<0.57 & \mathrm{H}_{\mathrm{a}}: \mu=0.57\end{array} \)

e) \( 9-11 \) f) \( -6-7 \) g) \( -10+4 \)