As part of a statistics project, a 6th grade teacher brings to class a container with 300 red marbles and 500 white marbles which are thoroughly mixed. To figure out how many marbles in the container are red without actually counting them all, a student randomly draws 40 marbles from the container. Of the 40 marbles drawn, 16 are red.The value 16/40 is

A. a parameter.
B. the response rate.
C. the sampling error.
D. the sampling proportion.
E. a statistic.


Answer: E

Mathematics

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A. a. Parallel to x-axis;
b. 

B. a. Parallel to y-axis;
b.

C. a. Parallel to x-axis;
b.

D. a. Parallel to x-axis;
b.
 

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Solve the problem.The production function f(x, y) for an industrial country was estimated as  where x is the amount of labor and y the amount of capital. Find the marginal productivity of labor.

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If $5,000 is deposited at the end of each half year in an account that earns an annual rate of 6.0% compounded semiannually, how long will it be before the account contains $145,000? Round your answer to two decimal places. ?

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Mathematics