A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number
To estimate the number of patrons who borrow novels, we can use proportions. We know that 3 out of 80 surveyed patrons borrowed novels. We can use this proportion to estimate the number of patrons who borrow novels out of the total 345 patrons:
3/80 = x/345
Cross-multiplying, we get:
80x = 3 * 345
Simplifying, we get:
x = (3 * 345)/80
x ≈ 12.94
Rounding to the nearest whole number, we estimate that approximately 13 patrons out of 345 borrow novels when they visit the library.
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39
The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place
The mean time Group A spent shopping is
? minutes.
The mean time Group B spent shopping is
? minutes.
The mean times Group A and Group B spent shopping differ by
? minutes
To find the mean time each group spent shopping, we add up the times and divide by the number of times:
Mean time for Group A = (18 + 20 + 46 + 34 + 58 + 31 + 41)/7 = 32.4 minutes
Mean time for Group B = (15 + 21 + 32 + 42 + 29 + 57 + 39)/7 = 34.3 minutes
To find the difference in the mean times, we subtract the mean for Group A from the mean for Group B:
Difference = 34.3 - 32.4 = 1.9 minutes
The mean time Group A spent shopping is 32.4 minutes.
The mean time Group B spent shopping is 34.3 minutes.
The mean times Group A and Group B spent shopping differ by 1.9 minutes.
Use the table to answer the question.
Value per House Number of Houses
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2
The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
$ ?
To find the median value of the houses, we need to arrange the values in order from lowest to highest:
$150,000, $150,000, $220,000, $220,000, $220,000, $220,000, $490,000, $490,000, $490,000, $540,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000
There are 18 houses, which is an even number, so the median is the average of the two middle values:
Median = ($490,000 + $540,000)/2 = $515,000
Therefore, the median value of the houses is $515,000.
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
? mph.
To find the range of speeds of the fastest steel roller coasters in Europe, we subtract the smallest value (74 mph) from the largest value (111 mph):
Range in Europe = 111 - 74 = 37 mph
To find the range of speeds of the fastest steel roller coasters in North America, we first need to find the largest and smallest values. The largest value is 128 mph (from Canada), and the smallest is 85 mph (from Mexico). Therefore:
Range in North America = 128 - 85 = 43 mph
The range of the speeds of the fastest steel roller coasters in Europe is 37 mph. The range of the speeds of the fastest steel roller coasters in North America is 43 mph.
Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.
The mean daily high temperature of Sample 1 is
?°
The mean daily high temperature of Sample 2 is
?°
The mean daily high temperatures of the two samples differ by
?°
To determine the approximate number of patrons who borrow novels when they visit the library, we need to find the ratio of the surveyed patrons who borrow novels to the total number of patrons at the library.
First, we need to calculate the percentage of surveyed patrons who borrow novels:
Percentage = (Number of surveyed patrons who borrow novels / Total surveyed patrons) x 100%
In this case, 3 out of 80 patrons borrow novels:
Percentage = (3 / 80) x 100% = 3.75%
Now, we can calculate the approximate number of patrons who borrow novels from the total number of patrons at the library:
Approximate number of patrons who borrow novels = (Percentage / 100%) x Total number of patrons
Since the total number of patrons is given as 345, we can plug the values into the formula:
Approximate number of patrons who borrow novels = (3.75% / 100%) x 345
Approximate number of patrons who borrow novels = 0.0375 x 345
Approximate number of patrons who borrow novels = 12.9375
Rounding the result to the nearest whole number, we conclude that approximately 13 patrons borrow novels when they visit the library.