Answer the question.A teacher bought a package of 48 markers for her first-grade class. After one school year, 33 markers were still working. What fraction of the package of markers was working? Express the result using a simple, convenient fraction that is close in value to the exact answer.
A. 
B. 
C. 
D. 
Answer: C
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Provide an appropriate response.For approximately what values of x can cos x be replaced by 
with an error of magnitude no greater than 
?
A. |x| < 0.22894 B. |x| < 0.33098 C. |x| < 0.23403 D. |x| < 0.14422
Express the vector as a product of its length and direction.3i + 6j + 6k
A. 9
B. 9(i + j + k)
C. 9
D. 9(3i + 6j + 6k)
Find the expected value.A bus arrives at a bus stop at 10 am, 10 minutes past ten, and 11.00 am. You arrive at the bus stop at random times between 10.00 am and 11.00 am every day, so all arrival times are equally likely. Find your expected waiting time for the bus.[Hint: Find the probability that you will arrive at the bus stop between 10.00 am and 10 minutes past ten and find your mean waiting time in that case. Then find the probability that you will arrive at the bus stop between 10 minutes past ten and 11.00 am and find your mean waiting time in that case.]
A. 21.7 minutes B. 15 minutes C. 22.5 minutes D. 43.3 minutes
Middletown is designing a new high-speed rail system to connect Downtown, the Airport, and the Mall. The elevated tracks for the rail system will run along the existing roads, that run on a grid as shown below. In addition, a central switching station must be located at one of the intersections.
What is the length of the optimal network?
A. 7 blocks
B. 8 blocks
C. 5 + 
blocks
D. 9 blocks
E. none of these