An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 260260 engines and the mean pressure was 44 lbs/square inch. Assume the variance is known to be 0.640.64. If the valve was designed to produce a mean pressure of 4.14.1 lbs/square inch, is there sufficient evidence at the 0.020.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.

Aparallelogram has an area of 216.24 cm2 and a height of 15.9 cm. how long is the base of the parallelogram? enter your answer as a decimal in the box. cm

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?