As part of a statistics project, a 6th grade teacher brings to class a container with 200 red marbles and 800 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 150 marbles from the container. Of the 150 marbles drawn, 33 are red.Suppose that the student is given the N-value. What is a reasonable estimate for the number of red marbles in the container?
A. 183
B. 150
C. 33
D. 220
E. none of these
Answer: D
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Graph the function on a grapher. Then use the grapher to find the x- and y-intercepts. Round to the nearest hundredth if necessary.f(x) = 0.68x2 + 1.57x + 15.76
A. No x-intercepts, (0, 15.76) B. (15.76, 0), no y-intercepts C. (3.80, 0), (-6.11, 0), (0, 15.76) D. (3.80, 0), (0, 15.76)
Simplify the expression. Assume all variables represent positive real numbers.4 - 3x
A. (4 - 3x)
B. cannot be simplified
C. x
D. 2x
Differentiate.
This model is of the form f(x) = mx + b. Determine what m and b signify.The cost, in dollars, of cellular phone service with Econo-phone is given by where x is the number of minutes used in one month.
A. 17.60 signifies the total phone bill, and 0.22 signifies the number of minutes used. B. 0.22 signifies the cost per minute, and 17.60 signifies the monthly service charge. C. 17.60 signifies the cost per minute, and 0.22 signifies the monthly service charge. D. 0.22 signifies the hourly phone rent, and 17.60 signifies the cost of the hardware.