The light bulbs produced by a generic manufacturer have a stated average life of 1,432 hours. Assume that the lifetimes of the bulbs are normally distributed with a standard deviation of 120 hours. Find the probability that a light bulb from this manufacturer will last longer than 1642 hours. Round your answer to three decimal places.
a. 0.960
b. 0.920
c. 0.040
d. 0.460
e. 0.540
c. 0.040
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = 
x, y = - 
x; one vertex is (0, 22)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Write the phrase as a variable expression. Use x to represent "a number."The difference of a number and 26
A. 26 - x
B. 
C. 26x
D. x - 26
Use the discriminant of the equation to determine the number of x-intercepts.f(x) = -6x2 - 12x + 6
A. Two x-intercepts B. One x-intercept C. No x-intercepts
An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;
T = 3 seconds
A. d = -5 cos 
B. d = -5 sin 
C. d = -3 cos 
D. d = -5 cos 