Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ =
which simplifies to
₁₈P₅ = 
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.
Answer:
b=14
Step-by-step explanation:
Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.
12b + 12 = 180 is the next equation.
Afterwards, you subtract 12 from 180.
12b = 168
Divide 12b from 168.
b = 14
300,000 because if a number is above 5, 50, 500, 5000, etc. then it rounds up instead of down.
Answer:
No solution
Step-by-step explanation:
This is no solution due to the fact that the slope of both of the equation are the same. So they are parallel. If the b value is the same then it is infinitely many solutions. Due to the fact that the b value is not the same they are a set of parallel line. Parallel line do not touch or intersect ever so there for this is a no solution set.
Answer:
1.256, 1.265, and 1.268
Step-by-step explanation: