This then allows us to see exactly how and where the subtended angle θ of a sector will fit into the sector formulas. Now we can replace the "once around" angle (that is, the 2π) for an entire circle with the measure of a sector's subtended angle θ, and this will give us the formulas for the area and arc length of that sector
Answer:
a) 
b) f(2) = 0.04462
c) f(1) = 0.01487
d) 
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of successes
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:

a. Write the appropriate Poisson probability function.
Considering 

b. Compute f (2).
This is P(X = 2). So


So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So


So f(1) = 0.01487.
d. Compute P(x≥2)
This is:

In which:





Then


So

Answer:
-2< x< 8
Step-by-step explanation:
|x-3|<5 <=> -5<x-3<5 <=> -2<x<8
..
Answer:
I believe the answer to this question is: X= -3 3/4
Triangle ABC has vertices A, B and C at points (-3,4), (-3,0) and (-1,3), respectively.
1. First transformation is rotation by 90° anti-clockwise about the origin. This transformation has a rule:
(x,y)→(-y,x).
Then
- A(-3,4)→A''(-4,-3);
- B(-3,0)→B''(0,-3);
- C(-1,3)→C''(-3,-1).
2. Second transformation is translation 2 units to the right with a rule
(x,y)→(x+2,y).
Then,
- A''(-4,-3)→A'(-2,-3);
- B''(0,-3)→B'(2,-3);
- C''(-3,-1)→C'(-1,-1).
Answer: First transformation is rotation by 90° anti-clockwise about the origin, second transformation is translation 2 units to the right.