Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
To solve this problem we can make the following rule of three
6 ---> 3/4
x ----> 1
Clearing x we have:
x = (1/3/4) * (6)
x = (4/3) * (6)
x = 24/3
x = 8
Answer:
Carlos climbs 8 miles for every mile Lara climbs.
1. 22
2.34
3. first one
hope this helps
Answer:0.25
Step-by-step explanation:
Just type it in a calculator
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
37% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
Rounding up:
A sample size of 1031 is required.
