For time, \( t \), in hours, \( 0 \leq t \leq 1 \), a bug is crawling at a velocity, \( v \), in meters/hour given by \[ v=\frac{2}{5+t} . \] Use \( \Delta t=0.2 \) to estimate the distance that the bug crawls during this hour. Use left- and right-hand hiemann sums to find an overestimate and an underestimate. Then average the two to get a new estimate. underestimate \( = \) overestimate \( = \) average \( = \) (for each, include units)

b) En la escuela hay 400 aluminos el \( 55 \% \) alumnos son \$ininas ¿cuantas niñas hay en la escueld

Exercise \#2. Calculate confidence intervals for the population mean when you do not know the population standard deviation. Use the following information to complete the calculations. Show your work. Formula: \( \bar{x} \pm t\left(\frac{s}{\sqrt{n}}\right) \) (2a) Assume the following: \( \bar{x}=60 \mathrm{~s}=7 \quad n=81 \) Calculate confidence intervals for a \( 95 \% \) confidence level. Calculate confidence intervals for a 99\% confidence level.

\( \left. \begin{array} { c } { 787.827 .179 } \\ { \square } \\ { \square } \end{array} \right. \)

4) Para cobrir o piso de um barracảo foram colocados 352 placas de 35 metros quadrados cada uma. Quantos metros quadrados tem o piso desse barracão?

Simplify. \( 9^{\frac{3}{2}} \) The solution is \( \square \). (Simplify your answer. Type an integer or a fraction.)