Provide an appropriate response.
Determine the standard deviation from the mean of the ages of the students in a technical mathematics class whose ages are: 42, 18, 19, 20, 23, 36, 18, 25, 20, 20, 24, 22, 26, 29, 37, 20, 20, 27, 42, 51, 24, 45, 24, 18, 31.
A. 20
B. 9.52
C. 33
D. 27.24
Answer: B
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Find the center of mass of a thin plate of constant density covering the given region.The region between the x-axis and the curve y = 2csc2 x, ? x ?
A. =
,
=
B. =
,
= 2
C. =
,
= 3
D. =
,
=
Determine where the function is increasing and where it is decreasing.f(x) = x2 - 10x + 25
A. increasing on (-5, ?) decreasing on (-?, -5) B. increasing on (5, ?) decreasing on (-?, 5) C. increasing on (-?, 5) decreasing on (5, ?) D. increasing on (-?, -5) decreasing on (-5, ?)
Factor out the greatest common factor.2x4 + 12x3
A. 2x3(x + 6) B. 2x3(2x + 6) C. x3(2x + 12) D. 2x4(x + 6)
Find the x- and y- intercepts.7x - 5y = 9
A. (, 0) , (0,
)
B. (2, 0) , (0, 14 )
C. (, 0) , (0, -
)
D. (- , 0) , (0,
)