Approximately what was the percent decrease from Monday to Friday in the daily number of calls received?
Answer(s): C
From the graph, Monday is about 82 calls and Friday is about 55 calls.Decrease 82 - 55 = 27 calls.
For the week shown, which of the following is closest to the average (arithmetic mean) number of calls received per day minus the median number of calls received per day?
Answer(s): E
From the graph, the daily calls are approximately: Mon 82, Tue 74, Wed 56, Thu 48, Fri 55, Sat 44, Sun 41.Sorted values: 41, 44, 48, 55, 56, 74, 82 median = 55.Mean - median 57 - 55 = 2
If the business received calls of only two types on Saturday and if calls of one of the two types accounted for 25 percent of all the calls received on that day, which of the following could be the remaining type of call?Indicate all such types of call.
Answer(s): A,B,D
From the line graph, the total calls for the week are approximately 82 + 74 + 56 + 48 + 55 + 44 + 41 = 400.On Saturday, there were about 44 calls; 25% of 44 is 11, so the remaining type must account for 33 calls that day.Billing issues = 20% of 400 = 80 calls for the week, so 33 on Saturday is possible.Service issues = 55% of 400 = 220 calls for the week, so 33 on Saturday is possible.New subscriptions = 12% of 400 = 48 calls for the week, so 33 on Saturday is possible.Subscription cancellations: 8% of 400 = 32 calls (cannot have 33 on Saturday).Other: 5% of 400 = 20 calls (cannot have 33 on Saturday).
A coffee shop sells its own brand of ground coffee packaged in two sizes -- small and large. The small size is priced at k dollars per package, and the large size is priced at m dollars per package. If the total price of 4 packages of the coffee is $30, which of the following could he the values of k and m?Indicate all such values.
Answer(s): C,D,E
Let s = number of small packages among the 4. Then number of large packages is 4 - s, and the total cost is:sk + (4 - s)m = 30, where s {0,1,2,3,4}.Check each option:k = 4, m = 6Cost = 4s + 6(4 - s) = 4s + 24 - 6s = 24 - 2sPossible values (s = 0..4): 24, 22, 20, 18, 16. Never 30. Not possible.k = 4, m = 16Cost = 4s + 16(4 - s) = 4s + 64 - 16s = 64 - 12sValues: 64, 52, 40, 28, 16. Never 30. Not possible.k = 5, m = 10Cost = 5s + 10(4 - s) = 5s + 40 - 10s = 40 - 5sSet 40 - 5s = 30 5s = 10 s = 2 (allowed). Possible.k = 5, m = 15Cost = 5s + 15(4 - s) = 5s + 60 - 15s = 60 - 10sSet 60 - 10s = 30 10s = 30 s = 3 (allowed). Possible.k = 7, m = 8Cost = 7s + 8(4 - s) = 7s + 32 - 8s = 32 - sSet 32 - s = 30 s = 2 (allowed). Possible.Therefore, `k = 5 and m = 10' works with 2 small + 2 large; `k = 5 and m = 15' works with 3 small + 1 large; `k = 7 and m = 8' works with 2 small + 2 large.
The length of the radius of circular region C1 is 40 percent less than the length of the radius of circular region C2. The area of C1 is what percent less than the area of C2?
If the radius of C1 is 40% less than the radius of C2, then r1 = 0.60r2.Area is proportional to r2, soTherefore, C1's area is 1 - 0.36 = 0.64 = 64% less than C2's area.
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