Find equation of line parallel to 2x+5y=8 at point (-1,0)
1 answer:
Lines are parallel if they have the same slope. In order to write a new equation parallel to the one we are given, we have to know the slope of the line we are given. Solve it for y:
so
.
That means that the slope of the given line is -2/5. We will now use the point we were given and fill in the slope-intercept form of a line with the x coordinate of -1 and the y coordinate of 0:
so
and
.
Now that we have the slope and the y-intercept (the b value we just solved for), we can write the new equation:
.
There you go!
You might be interested in
Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.
- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )
E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1