For 103 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. each day, she took a sample of 5 bottles. the average across all 515 bottles (103 days, 5 bottles per day) was 55 degrees fahrenheit. the standard deviation across all bottles was 1.3 degrees. (round your intermediate calculations and final answer to 4 decimal places.) when constructing an x-bar chart, what would be the upper control limit?

Koji is installing a rectangular window in an office building. the window is 823 feet wide and 534 feet high. the formula for the area of a rectangle is a=bh. what is the area of the window? enter your answer as a mixed number in simplest form in the box. $$ ft2

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Solve each equation using the quadratic formula. find the exact solutions. 6n^2 + 4n - 11