Assignment Content Question 12 A sample of 36 main dishes in famous restaurants has been randomly selected and the number of calories in each dish is recorded. The \( z \)-based confidence interval for the mean calorie content was ( \( 571.785,588.215 \) ) if the sample standard deviation was 24 . What was the confidence level that has been used in constructing the interval?Show ALL your work. Use the editor to format your answer

(3) 2 es -265.

Multiple Choice I point An apartment bullding manager has a goal to collect at leost 60 pounds of clothing for a community center. The manager has already collected 5 pounds of clothing. If 22 residents each donate the same weight of clothes, in pounds, which inequality and graph can be used to find the minimum number of pounds, \( p \), each resident must donate for the manager to meet the goal? p \( <2.5 \)

EXAM CODE 01 18. Evaluate \( \int_{C} x d y \), where \( C \) is the line segment from \( (1,2) \) to \( (2,3) \). A. \( \quad 1 \) B. \( \quad 1.5 \) C. \( \quad 2 \) D. \( \quad 2.5 \) 19. Evaluate \( \int_{C} 2 z d s \), where \( C \) is the curve given by the equations \( x=\cos t, y=\sin t, \quad z=t, \quad 0 \leq t \leq 2 \pi \). A. \( \quad 4 \sqrt{2} \pi^{2} \) B. \( 2 \sqrt{2} \pi^{2} \) C. \( \sqrt{2} \pi \) D. \( \quad \sqrt{2} \)

Rotate the vector \( \langle 3,-2\rangle 90^{\circ} \) clockwise about the origin. \[ \langle-2,[?]\rangle \]

\( \int \frac { 3 x ^ { 2 } - 6 x - 1 } { ( x + 1 ) ( x - 1 ) ( x ^ { 2 } + 1 ) } d x \)