Any proper CDF 
has the properties
• 
• 
so we have to have a = 0 and b = 1.
This follows from the definitions of PDFs and CDFs. The PDF must satisfy
and so
(0,0)
(0.1, 1.1)
(0.5, 5.5)
(0.8, 8.8)
(1,11)
(2,22)
(3,33)
(4,44)
(5,55)
(10,110)
(11, 121)
(20, 220)
(30, 330)
(90, 990)
etc, etc
Hello :
<span>x²- y = 3 ...(1)
x - y = -3 ...(2)
by (2) : y = x+3
subqct in (1) : x²-x-3 = 3
x²-x-6 =0
(x+2)(x-3) = 0
x+2 =0 or x-3 =0
x=-2 or x=3
if x = -2 y = -2+3 = 1
if x=3 y =3+3 = 6
two solutions : ( -2, 1) , (3,6)</span>
X <span> ≥ 48
"At least" is another way of saying "greater than or equal to".</span>
Answer:
- laura's distance = max's distance + 2 3/4 feet
- max's distance = 5 feet 5 inches
Step-by-step explanation:
If you consider the English-language meaning of the description of the distances, you can see there might be several ways you could write an equation that says the same thing. Some of them are ...
laura's distance = max's distance + 2 3/4 feet
laura's distance - max's distance = 2 3/4 feet
laura's distance - 2 3/4 feet = max's distance
The first of these equations is shown as an answer above. The last of these equations gives max's distance directly, so is the most useful for finding that value.
laura's distance - 2 3/4 feet = max's distance
8 1/6 feet - 2 3/4 feet = max's distance
5 5/12 feet = max's distance . . . . . . do the arithmetic
_____
Describing addition and subtraction of mixed numbers is beyond the scope of this answer. Many calculators can work with fractions directly, in case you cannot do it by hand.
