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.
? patrons
We can set up a proportion to solve for the approximate number of patrons who borrow novels:
3/80 = x/345
To solve for x, we can cross-multiply and simplify:
80x = 3*345
80x = 1035
x = 1035/80
x ≈ 12.94
Rounded to the nearest whole number, approximately 13 patrons borrow novels when they visit the library.
A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?
400 randomly chosen employees from the list of all employees
A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-storyhotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?
100 lamps on each floor chosen randomly
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.
13 patrons
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 35.4 minutes
The mean time Group B spent shopping is 33.6 minutes
The mean times Group A and Group B spent shopping differ by1.8 minutes.
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?
$515000
Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most?
Dana: 68, 74, 83, 80, 81, 82
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. Thetable 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 1
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
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 is43 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 85.1 .
The mean daily high temperature of Sample 2 is 84.8..
The mean daily high temperatures of the two samples differ by 0.3.
The data from two random samples of 100 students regarding what pet they own is givenbelow.
Dog Cat Bird
Total
Sample 1
54 38 8 100
Sample 2
39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
10 percent
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1:
6 0 4 17 3 12
Lacrosse Team 2:
23 14 22 14 17 22
The range of the number of goals scored by Lacrosse Team 1 is 17. The range of the number of goals scored by Lacrosse Team 2 is 9. Based on the range, Lacrosse Team 2 has a more consistent number of goals scored.
Here are the data sets on two athletes’ swim times for the 100-meter freestyle event in seconds.
Swimmer A:
77 80 83 81 80 80 79
Swimmer B:
75 82 81 86 86 79 71
Which of the following descriptions is true about the data?
The measures of center for Swimmer A are all the same.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
The data value in common for both distributions with the lowest number is 21.
The data value in common for both distributions for the highest number is 22.
Fifteen students are randomly selected from two different classes. They were asked how manybooks they read during the summer. Their responses are as follows. Find the median numberof books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
The median number of books read during the summer by Class 1 is 5.
The median number of books read during the summer by Class 2 is 3.
Class 1 has a higher median number of books read during the summer.
The ages of randomly selected employees at two companies are recorded. Their ages are asfollows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
2. The median age of employees from Company A is lower than the median age of employees from Company B.
3. The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
statements 2 and 3
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.
Answer in your own words.
To find the mean time each group spent shopping, we can use the formula:
mean = sum of data values / number of data values
For Group A:
mean = (18 + 20 + 46 + 34 + 58 + 31 + 41) / 7
mean = 248 / 7
mean ≈ 35.4
For Group B:
mean = (15 + 21 + 32 + 42 + 29 + 57 + 39) / 7
mean = 235 / 7
mean ≈ 33.6
The mean time Group A spent shopping is approximately 35.4 minutes.
The mean time Group B spent shopping is approximately 33.6 minutes.
To determine the difference in the mean times, we can subtract the mean time for Group B from the mean time for Group A:
35.4 - 33.6 ≈ 1.8
The mean times Group A and Group B spent shopping differ by approximately 1.8 minutes.
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 approximate number of patrons who borrow novels when they visit the library, we can use proportions.
Given:
- Number of patrons surveyed = 80
- Number of patrons who borrow novels = 3
Let's set up a proportion:
(Number of patrons who borrow novels) / (Number of surveyed patrons) = (Number of total patrons who borrow novels) / (Number of total patrons)
Using the known values:
3 / 80 = (Number of total patrons who borrow novels) / 345
Now, cross multiplying:
(3 * 345) = (80 * Number of total patrons who borrow novels)
Dividing both sides by 80:
(3 * 345) / 80 = Number of total patrons who borrow novels
Simplifying:
1035 / 80 = Number of total patrons who borrow novels
Rounding the result to the nearest whole number:
Number of total patrons who borrow novels ≈ 12
Therefore, approximately 12 patrons borrow novels when they visit the library.
To estimate the number of patrons who borrow novels when they visit the library, we can use proportions.
Step 1: Find the proportion of patrons in the survey who borrow novels.
We know that out of the 80 patrons surveyed, 3 patrons borrow novels. So, the proportion of patrons that borrow novels can be calculated by dividing the number of patrons who borrow novels by the total number of patrons surveyed:
Proportion of patrons borrowing novels = Number of patrons borrowing novels / Total number of patrons surveyed
Proportion of patrons borrowing novels = 3 / 80
Step 2: Use the proportion to estimate the number of patrons who borrow novels in the entire library.
To estimate the number of patrons who borrow novels in the entire library, we can multiply the proportion calculated in step 1 by the total number of patrons in the library:
Estimated number of patrons borrowing novels = Proportion of patrons borrowing novels * Total number of patrons in the library
Estimated number of patrons borrowing novels = (3 / 80) * 345
Step 3: Round the answer to the nearest whole number.
After performing the above calculation, you can round the result to the nearest whole number to get the approximate number of patrons who borrow novels when they visit the library.