Make sure to explain ! evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for 4 people. use this information to answer all four parts below. question: part a: each person will receive an equal share of beef with none left over. what is the amount, in pounds, of each serving of beef? part b: each person will receive an equal share of shrimp with none left over. what is the amount, in pounds, of each serving of shrimp? part c: each person will receive an equal share of pasta with none left over. what fraction represents the amount, in pounds, of each serving of pasta? part d: evan only ate 1/2 of the pasta that he received. what is the amount, in pounds, of pasta did evan eat? explain how you got this answer step-by-step using math vocabulary. type your answer below:

True or false? a triangle can be circumscribed about a given circle

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Find the volume of the described solid.the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x.a) 441b) 147c) 864d) 882