Find the number of pieces that aren't red, by subtracting the red from the total:
11 - 5 = 6 are not red.
The probability is the number of none red, over the total number of pieces: 6/11
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
Answer:
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9
8^(x-3) = 2^(3x-9)
Step-by-step explanation:
2⁴ × 8^(x - 3)
2⁴ × (2³)^(x-3)
2⁴ × 2^(3x - 9)
Since the bases are same now, powers can be added
2^(4 + 3x - 9)
2^(3x - 5)
Calculate for 3 days: 2,400 x 3 = 7,200
Calculate 1 day per hour: 2,400 ÷ 24 = 100
Calculate for 6 hours: 100 x 6 = 600
7,200 + 600 = 7,800 watt-hours
no solutions → C
The 2 given lines are parallel and never intersect thus no solution
