A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 99% confidence interval with a maximum error of 0.1 reproductions per hour. Assuming that the mean is 6.1 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

1.based of the diagrams what is the the value of x? 2.how would you verify your answer for x

Draw a geometric diagram of this scenario using two parallel lines and one transversal. (remember that a transversal is a line which cuts across parallel lines.) label the angles, parallel lines, and transversal as indicated in the diagram above.

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?