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$d=55t$
The equation above can be used to calculate the distance $d$, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of $t$ hours. For any positive constant $k$, the distance the car would have traveled after $9k$ hours is how many times the distance the car would have traveled after $3k$ hours?
Difficulty: Medium
A:
$3$
B:
$6$
C:
$3k$
D:
$6k$
Data set F consists of 55 integers between 170 and 290. Data set G consists of all the integers in data set F as well as the integer 10. Which of the following must be less for data set F than for data set G?
I. The mean
II. The median
Difficulty: Hard
A:
I only
B:
II only
C:
I and II
D:
Neither I nor II
Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is 20.5, with an associated margin of error of 1. Which of the following is the most appropriate conclusion?
Difficulty: Medium
A:
It is plausible that the actual mean value of the variable for the population is between 19.5 and 21.5.
B:
It is not possible that the mean value of the variable for the population is less than 19.5 or greater than 21.5.
C:
Every value of the variable in the population is between 19.5 and 21.5.
D:
The mean value of the variable for the population is 20.5.
| Call Ratings | |||||
|---|---|---|---|---|---|
| 1 Star | 2 Stars | 3 Stars | 4 Stars | Total | |
| Employee A | 16 | 49 | 72 | 8 | 145 |
| Employee B | 4 | 10 | 22 | 34 | 70 |
| Employee C | 8 | 56 | 45 | 16 | 125 |
| Employee D | 22 | 42 | 84 | 12 | 160 |
| Total | 50 | 157 | 223 | 70 | 500 |
A supervisor at a call center reviewed 500 calls taken by four employees and rated the employees' performance on each call on a scale from 1 star to 4 stars. The ratings for each employee are shown in the table above. According to the table, to the nearest whole percent, what percent of Employee A's calls received a rating of 1 star?
Difficulty: Easy
A:
3%
B:
11%
C:
16%
D:
32%
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