Answer:
1/2.(x+12)=4x-1
x+12=2(4x-1)
x+12=8x-2
Group like terms
12+2=8x-x
14=7x
Divide both sides by 7
x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = 3x + 2
6x – 2y = 10
Ryan’s answer:
I solved by adding the equations. The solution is .
y = 3x + 2 → 3x + y = 2
6x – 2y = 10 → 3x – y = 5
6x = 7
x =
6x – 2y = 10 → 6 – 2y = 10
7 – 2y = 10
–2y = –3
y = -
Jesse’s answer:
I used matrices. The solution is .
Mark’s answer:
I graphed the equations. The lines are parallel and do not intersect, so there is no solution.
Answer:
a)
b)
Step-by-step explanation:
Given:
The lifetimes of the individual items are independent exponential random variables.
Mean = 200 hours.
Assume, Ti be the time between ( )st and the failures. Then, the are independent with being exponential with rate
Therefore,
a)
The variance is given by,
Answer:
0
Step-by-step explanation:
We have the two functions:
And we want to find (f-g)(144).
This is the same thing to f(144)-g(144).
So, let’s determine the value of f(144) and g(144) first:
And:
Hence:
Our final answer is 0.