Find the values of x for which the geometric series converges.
A. |x| < 6
B. |x| < 3
C. |x| < 1
D. |x| <
Answer: D
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Find the mode or modes (if any).7.13, 7.41, 7.56, 7.13, 7.88, 7.99, 7.62
A. 7.56 B. 7.41 C. 7.13 D. 7.531
Provide an appropriate response.According to data collected during one year in a large metropolitan community, 30% of commuters used public transportation to get to work, and this rose by 4% the following year. This is modeled by the transition matrix M =
S0 = [0.3 0.7]where P represents the percentage of people that use public transportation and P' the percentage of people that do not. What percentage of commuters in this community will use public
transportation in the long run? A. 37.2% B. 30% C. 34% D. 50%
Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day.
A. 0.20 B. 0.65 C. 0.35 D. 0.15
Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 27 counselors and 18 aides D. 18 counselors and 12 aides