Step-by-step explanation:
a)
Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

b)
Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

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
Answer:
The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
Step-by-step explanation:
Given that the line passes through the point (5,4).
As the line is parallel to the x-axis, the slope of the line would be zero.
And we have point (5,4) from which the line is passing.
So, 
The equation of the line passing through point
is

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
u₁₂ represents the amount of loan remaining after 12 years
<h3>How to interpret u₁₂?</h3>
The function is given as:
u₀ = 8000

Given that the subscript n in
represents number of years and
represents the amount left to be paid after n years.
We can conclude that:
u₁₂ represents the amount of loan remaining after 12 years
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