Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?
A. 20
B. 100
C. 10
D. 500
Answer: C
Mathematics
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Factor the polynomial.54k3m - 16m4
A. 2m(3k - 2m)(9k2 + 6km + 4m2) B. 2m(27k - 2m)(k2 + 6km + 4m2) C. 2m(3k + 2m2)(9k2 - 6km + 4km2) D. (6km - 4m2)(9k2 + 4m2)
Mathematics
Find the vertex and axis of symmetry of the graph of the function.f(x) = -x2 - 6x
A. (-3, 9); x = -3 B. (-9, 3); x = -9 C. (9, -3); x = 9 D. (3, -9); x = 3
Mathematics
Find the slope and y-intercept of the line.4x - 5y = 7
A. slope = 
; y-intercept = 
B. slope = 4; y-intercept = 7
C. slope = 
; y-intercept = - 
D. slope = 
; y-intercept = 
Mathematics
Use the given table for y = ax2 + bx + c to solve ax2 + bx + c < 0 or ax2 + bx + c > 0, as indicated.y = x2 + 15x + 54; ax2 + bx + c > 0
A. 6 < x < 9 B. x < -9 or x > -6 C. -9 < x < -6 D. x < 6 or x > 9
Mathematics