Answer:
10
Step-by-step explanation:
To find the value of n we can write:
(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11
(9n + 63) / 9 = 11
9n + 63 = 99
9n = 36
n = 4
The median is n + 6 which is 4 + 6 = 10.
Since the order matters Person A and B can be chosen as AB (A pres B vice pres) or BA (B president A Vice president)
When the order matters we are talking about permutations. How many permutations of 11 taken 2 at a time are there.
It can be written like this 11nPr 2
It means start at 11 and multiply by the next lower number
11 x 10 = 110 ways they can choose.
Extension of the concept:
If there had been three positions President, Vice President, and Treasurer
then it would be 11nPr3 or 11 x 10 x 9
Once again the answer to your problem is 110.
Answer:
Standard form for straight line
y = m x + b
If x = 0 then y = b = 3
y = m x + 3
Since m is the slope the requested equation is y = x + 3
Answer:
y = 
or -3.571
x = 
or 1.429
Step-by-step explanation:
x - y = 5
x = 5 + y
Solve for y:
y = -6x + 5
y = -6(5 + y) + 5 Substitute x with 5 + y
y = -6(5) - 6y + 5
y = -30 - 6y + 5
y + 6y = -30 + 5
7y = -25
y = or -3.571
Solve for x:
x = 5 + y
x = 5 + -25/7
x = or 1.429
