A bank has two automatic tellers at its main office and two at each of its three branches. The number of machines that break down on a given day, along with the corresponding probabilities, are shown in the following table:
Find the expected number of machines that will break down on a given day.
a. E = 1.76
b. E = 1.54
c. E = 0.71
d. E = 1.19
a. E = 1.76
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Determine whether the source of error represents random or systematic error.A survey is conducted on smoking amongst teenagers. When questioned by adults, teenagers tend to underreport how much they smoke.
A. Systematic error B. Random error
Describe the given set of points with a single equation or with a pair of equations.The circle of radius 3 centered at the point (7, -6, 6) and lying in a plane perpendicular to the 
A. (y + 6)2 + (z - 6)2 = 9 and x = 7
B. 
2+ 
2+ 1 = 9
C. (y + 6)2 + (z - 6)2 = 9 and y + z = 0
D. 
2 + 
2 = 9 and x = 7
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.x2 - 16y2 - 8x + 32y - 16 = 0
A. center at (4, 1)
transverse axis: x = 4
vertices: (4, -3) and (4, 5)
foci: (4, 1 - 
) and (4, 1 + 
)
asymptotes: y + 1 = - 4(x + 4) and y + 1 = 4(x + 4)
B. center: (4, 1)
transverse axis: y = 1
vertices: (3, 1) and (5, 1)
foci: (4 - 
, 1) and (4 + 
, 1)
asymptotes: y - 1 = - 4(x - 4) and y - 1 = 4(x - 4)
C. center: (4, 1)
transverse axis: y = 1
vertices: (0, 1) and (8, 1)
foci: (4 - 
, 1) and (4 + 
, 1)
asymptotes: y - 1 = - 
(x - 4) and y - 1 = 
(x - 4)
D. center: (1, 4)
transverse axis: y = 4
vertices: (-3, 4) and (5, 4)
foci: (1 - 
, 4) and (1 + 
, 4)
asymptotes: y - 4 = - 
(x - 1) and y - 4 = 
(x - 1)
Solve the problem.Find the amount of money in an account after 5 years if $2800 is deposited at 7% annual interest compounded monthly.
A. $3949.68 B. $3961.38 C. $3969.35 D. $3927.14