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
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Solve the given differential equation.
+ y = 12 + 6 cos 5x
A. y = c1 sin x + c2 cos x + 
cos 5x + 12
B. y = c1 sin x + c2 cos x - 
sin 5x + 12
C. y = c1 sin x + c2 cos x - 
cos 5x
D. y = c1 sin x + c2 cos x - 
cos 5x + 12
Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form.m = 3; (-8, 0)
A. f(x) = 3x - 27 B. f(x) = 3x - 25 C. f(x) = 3x + 24 D. f(x) = -3x + 20
Use substitution to solve the system, with coordinates of solutions rounded to the second decimal place. Verify your work by using "intersect" on a graphing calculator.y = 5.63x + 3.03y = -0.72x - 6.91
A. (-2.63, -5.21) B. (-1.36, -7.32) C. (-1.57, -5.78) D. (-0.83, -4.25)
Find the distance between the points: (, ) and (, ). Round to 3 decimal places.
a. 5.211 b. -3.561 c. 2.010 d. 7.031