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
Answer: A
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Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form.The food is good and if I eat too much, then I'll exercise.
A. (r ? p) ? q B. r ? (p ? q) C. (r ? p) ? q D. (r ? p) ? q
Simplify the radical.
A. 9m3
B. 9m3
C. 45m3
D. 9m3
Solve the problem.The sum of three numbers is -2. If the second number is subtracted from the sum of the first and third numbers, the result is 4. If the third number is subtracted from the sum of the first and second numbers, the result is 6. Find the three numbers.[Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]
A. x = 6, y = -2, z = -6 B. x = 6, y = -3, z = -5 C. x = 3, y = -1, z = -4 D. x = 5, y = -3, z = -4
Simplify the expression. Assume that all variables are positive when they appear.
A. 2y30 B. 2y28 C. 2y15 D. 4y15