Question A bag of cookies is underweight if it weighs less than 500 grams The filling process dispenses cookies with weight that follows the normal distribution with mean 510 grams and standard deviation 4 grams a What is the probability that a randomly selected bag is underweight? b If you randomly select 5 bags, what is the probability that exactly 2 of them will be underweight?

8 7. A continuous random variable X has the density 312 for 0 <3<2 f(x) = 0 otherwise. What is the probability that X is greater than its 75th percentile? {

Determine the x-and y-coordinates of the centroid of the shaded area. Assume c = 6, a = 1.10, b = 1.90. = y 1 1 1 x 3 y=1+ © с ob- --X a b Answer: (1,5) = ( Locate the centroid of the shaded area. Set b= 0.40 a. y | *=a(1-1 y2 62 b * a Answer: (Ă, y) = ( Determine the x-and y-coordinates of the centroid of the shaded area. у | a | y = k2v x 1.20 a y = k123 Answers: (1. y) =(

Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,940 hours and the total estimated manufacturing overhead was $530,948. At the end of the year, actual direct labor-hours for the year were 21,850 hours and the actual manufacturing overhead for the year was $530,948. Overhead at the end of the year was: (Round your Intermediate calculations to 2 decimal places.) Multiple Choice $2,228 underapplied $2,178 underapplied $2,178 overapplied $2,228 overapplied

For the following exercises, find the surface area of the volume generated when the following curves revolve around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. 199. y = x2 from x = 0 to x = 2

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4

C. Which of the following organisms are most closely related? Are any two the same species? On what did you base your answer? 2.0 A B D C Rod Rod Coccus Rod + + Fermentative Oxidative Fermentative Fermentative Characteristics Morphology Gram Reaction Glucose utilization Cytochrome oxidase GC moles % Present Present Absent Absent 48-52 23-40 50-54 49-53