1. Answer the following questions. a. Analyze What external conflict confronts the characters who are charged with witchcraft? b. Make Inferences What internal conflicts do the accused most likely face? Explain, citing textual details.

a) Calcula la desviación media para cada instrumento. Regla: \( \mathrm{DM}=\square \quad \) Palmer: \( \mathrm{DM}=\square \quad \) Vernier: \( \mathrm{DM}=\square \) b) ¿Cuál instrumento consideras que es más preciso?

Vuelve a escribir la ecuación completando el cuadrado. \( x^{2}+3 x-28=0 \)

2. \( \tan (\theta)+\cot (\theta) \equiv \sec (\theta) \cdot \csc (\theta) \)

82. The Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally repre- sentative online poll of 2,015 American adults aged 18 and above. They found that \( 3.3 \% \) of the respondents identified as vegetarian. Food habits in India tend to have a large religious and social component. How does the popularity of the vegetarian diet differ in the United States and India? A 2014 survey conducted by the Registrar General of India found that \( 29 \% \) of Indians were vegetarian. Suppose the proportion was obtained from a random sample of 1,000 Indians. (a) Construct and interpret a \( 99 \% \) confidence interval for the difference in proportions of vege- tarians in India and the United States. (b) Based on the interval, what kind of evidence do you expect to have for the alternative in a two-sided hypothesis test? Explain.

3.3 Show that: \[ \sqrt{1-\frac{\tan ^{2} \theta}{1+\tan ^{2} \theta}}=\cos \theta \] Hence or otherwise solve the equation \[ \sqrt{1-\frac{\tan ^{2} \theta}{1+\tan ^{2} \theta}}=0,60181 \] Where \( 0^{\circ} \leq \theta \leq 360^{\circ} \)