Solve the problem.A company installs 5000 light bulbs. Each bulb has an average life of 500 hours with a standard deviation of 100 hours. The life of each bulb is approximated by a normal curve. Find the number of bulbs that can be expected to last less than 500 hours.

A. 3000
B. 2500
C. 2400
D. 1000


Answer: B

Mathematics

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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -2x + 6xy y'(t) = y - 9xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.

A. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c) (0, 0) and 
C. (a) x' = 0 along the lines x =  and y = 0
(b) y' = 0 along the lines y =  and x = 0
(c) (0, 0) and 
D. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c)  and 

Mathematics

Estimate the answer to the problem.Each gallon of porch and deck paint covers 200 square feet. How many gallons are needed to cover 1320 square feet?

A. 8 gallons B. 6 gallons C. 5 gallons D. 7 gallons

Mathematics

Sketch the graph of the pair of functions. Use a dashed line for g(x).f(x) =  , g(x) =  + 4

A.

B.

C.

D.

Mathematics

Choose the most reasonable metric length unit. Choose from km, m, cm, and mm.The distance from my town to the next town is 18 .

A.

mm

B. cm
C. km
D. m

Mathematics