If you draw the line you will see 2/3 is closer to 3/4
The exponential distribution is:
where
The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
Sub into conditional probability formula:
Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
Step-by-step explanation:
m= (8--7)/(-2-8)
=-3/2
y=mx+c
8=(-3/2)(-2)+c
c=5
y=(-3/2)x+5
For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
So longest line that can be drawn in rectangular board is 3.80m
1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.
2.
2 lines are parallel only if their slopes are equal.
3.
if the equation of a line l is given in the form y=
mx+t, then m, the coefficient of x, is the slope of that line.
4.
so given lines a, b, c with equations:
if
, then the lines intersect, forming thus a triangle.
5.
let the 3 lines be: