An angle formed at a point outside a circle by two secants, two tangents, or a secant and a tangent is equal to one-____________________ the difference of the intercepted arcs.
Fill in the blank(s) with the appropriate word(s).
half
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One of two machines, alpha and beta, is to be purchased to provide for a new production operation in a factory. Machine alpha costs $10 000 and machine beta, $15 000. However, machine beta will result in an annual savings in operating costs of $800 over machine alpha. Which machine would you recommend purchasing and why, if each has a useful life of 10 years and money is worth 6 percent? Assume that both machines will be worthless at the end of 10 years. What value of annual savings of machine beta over machine alpha would result in each being equally desirable?
What will be an ideal response?
Technician A says that a vibration felt in the seats may be caused by improper rear wheel balance. Technician B says that a vibration felt in the steering wheel may be caused by a worn clutch throwout bearing. Which technician is correct?
A) Technician A only B) Technician B only C) Both technicians D) Neither technician
The part of a DC generator that transmits the current from the generator to its external circuit is(are) the _____.
a. brushes b. commutator c. armature d. slip rings
The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.4 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured.
a. What is the probability that the total time used by machine 1 is greater than 55 hours? b. What is the probability that the total time used by machine 2 is less than 55 hours? c. What is the probability that the total time used by both machines together is greater than 115 hours? d. What is the probability that the total time used by machine 1 is greater than the total time used by machine 2?