The two triangles are congruent to each other, meaning they’re proportional to each other but not equal.
The question is asking you to list the angles that are congruent to each other (when talking about angles and congruency, if two angles are congruent, they are equal) and the sides that are congruent to each other (as long as all sides are proportional to each other, they are congruent (Triangle ABC has side lengths of 1, 2, 3 and Triangle DEF has side lengths of 2, 4, 6; these two triangles are congruent))
They can travel roughly 110 miles for 5 gallons of gas.
Answer:
a) Mean, E(X) = - 0.5
Variance = = 9.25
b) 
or
⇒ 
⇒ 
Step-by-step explanation:
Given:
moment generating function of X as:
MX(t) = 
a) Now
Mean, E(X) =
Thus,

or

also,
Thus,

or

Therefore,
Mean, E(X) = 
or
Mean, E(X) = - 0.5
and

or
= 9.5
also,
Variance(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
b) Now,
Let f(x) be the PMF of X
Thus,

or
⇒ 
⇒ 
Therefore,
at x = 0, P(x) =
at x= - 4 ,P(x) = 
at x = 5, P(x) =
Thus,
E(X) =
or
E(X) = - 0.5
also,
= 9.5
Hence,
Var(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
Answer:
1/29
Step-by-step explanation:
There are 29 students in total, and the students with blue eyes is only 1.
The fraction would be 1/29 and this is its simplest form.
Answer:
x=-20
Step-by-step explanation:
x-3/4x=3/10x-1
20x-15x=6x+20
5x=6x+20
5x-6x=20
-x=20
x=-20