Aconstruction firm requires steel rods that are at least 5 meters in length. the rods are purchased in lots of 20,000. the vendor for these rods claims that its production process yields rods with a mean of 5.020 meters and a standard deviation of 0.060 meters. to determine whether the lots meet the required quality standards, 100 rods are randomly sampled from each incoming lot and the mean length of rods in the sample is calculated. the quality manager has decided to accept lots whose sample mean is 5.010 meters or more. assuming that the vendor’s claim is true, what is the probability that the manager accepts a particular lot, based on a sample of 100 rods

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

The figure below shows rectangle abcd and the triangle eca on a coordinate plane.which of the following expressions represents the perimeter of triangle of triangle eca in units

Write the summation to estimate the area under the curve y = 1 + x2 from x = -1 to x = 2 using 3 rectangles and right endpoints