Find the centroid of the region bounded by the given curves. Select the correct answer.
a. (-0.3146, 0.7854)
b. (0.3146, 25.1328)
c. (2.5130, 0.3146)
d. (-2.5130, 25.1328)
e. (0.2513, 2.5133)
e. (0.2513, 2.5133)
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Provide an appropriate response.Chantal noted that there are two equally likely outcomes when you flip a fair coin and heads is one of those outcomes. She concluded that the probability of getting heads on a flip of a fair coin is 1/2 . Which method did Chantal use?
A. Subjective method B. Empirical method C. Relative frequency method D. Theoretical method
Provide an appropriate response.Which of the following apply when preparing a trend analysis?I. select a base year to be represented by 100%II. calculate the index number for the years prior to the base yearIII. prepare a table and graph of the base and index numbers
A. I, II, and III B. both I and III C. I only D. II only
Find the future value. Round your answer to the nearest cent.Principal = $59,600Rate = 4%Time in months = 3
A. $781,952.00 B. $60,394.67 C. $6,079,200.00 D. $60,196.00
Without graphing, answer the following questions for the linear system.(i) Is the system inconsistent, are the equations dependent, or neither?(ii) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line?(iii) Does the system have one solution, no solution, or an infinite number of solutions? 2x - y = 5-2x + 2y = 10
A. (i) dependent (ii) one line (iii) infinite number of solutions B. (i) neither (ii) intersecting lines (iii) one solution C. (i) inconsistent (ii) parallel lines (iii) no solution