Find the mode(s) for the given sample data.5, 9, 59, 3, 2, 8, 42, 1, 4, 16
A. 14.3
B. No mode
C. 9
D. 8
Answer: B
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Figure (a) shows a vacant lot with a 100-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 100], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 100]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 100] into five equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, 70, and 90. What is the approximate area of the lot?
?
?
?
__________ square feet
Fill in the blank(s) with the appropriate word(s).
Convert the units using unit fractions.480 sec = min
A. 8 B. 20 C. 15 D. 4
Graph the function.f(x) = 2ex
A.
B.
C.
D.
Provide an appropriate response.Fill in the blank with "always greater than," "sometimes greater than," "always less than," or "cannot be determined," whichever response is correct. When dividing a positive fraction by , the answer is
the fraction.
A. always greater than B. always less than C. sometimes greater than D. cannot be determined