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
all 624 female employees in the company
all employees who have worked in the company for 5 years or more
a group with one member from each department

A group with one member from each department would give the most valid generalization because it ensures representation from each area of the company, rather than focusing on one specific demographic or length of employment. By including a diverse range of employees, the company can gain insights into the preferences of the entire workforce.

the activity for one week of 168 people was tracked and displayed in a circle graph. school: 40 24% eat: 21 13% sports/play: 15 9% social media/tv: 24 14% other: 12 7% sleep: 56 ?%. what was the percentage of time spent on sleep? round to the nearest whole number.

To find the percentage of time spent on sleep, we know that sleep was done for 56 hours out of the total 168 hours in a week.

Percentage of time spent on sleep = (Number of hours spent on sleep / Total number of hours in a week) * 100%
Percentage of time spent on sleep = (56 / 168) * 100%
Percentage of time spent on sleep = (1/3) * 100%
Percentage of time spent on sleep = 33.33%

Rounded to the nearest whole number, the percentage of time spent on sleep is 33%.

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 find out the approximate number of patrons who borrow novels when they visit the library, we can set up a proportion based on the sample survey:

3 patrons out of 80 surveyed borrow novels.

Let x be the number of patrons out of the total 345 who borrow novels.

Now we set up the proportion:

3/80 = x/345

Cross multiplying, we get:

80x = 3 * 345
80x = 1035
x = 1035 / 80
x = 12.9375

Rounded to the nearest whole number, approximately 13 patrons out of the total 345 borrow novels when they visit the library.