Answer:
Option A
2:1
Step-by-step explanation:
The radius of circle B is half of that of A meaning circle A's circumference is twice that of B
A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
Exponential
Hope this helps!!!!
Answer:
The expected amount for a duration of 20 weeks is $9.4
<em></em>
Step-by-step explanation:
Read attachment to understand the complete question
From the question, we have the following given parameters:
x = Amount paid for a second movie
--- Expected value of x
--- Standard deviation of x
Required
Determine the total amount paid for a second movie for 20 weeks
The required implies that we calculate the expected value for a duration of 20 weeks.
i.e.
If
![E(x) = 0.47](https://tex.z-dn.net/?f=E%28x%29%20%3D%200.47)
Then:
![E(nx) = n * E(x)](https://tex.z-dn.net/?f=E%28nx%29%20%3D%20n%20%2A%20E%28x%29)
Substitute 20 for n
![E(20x) = 20 * E(x)](https://tex.z-dn.net/?f=E%2820x%29%20%3D%2020%20%2A%20E%28x%29)
Substitute 0.47 for E(x)
![E(20x) = 20 * 0.47](https://tex.z-dn.net/?f=E%2820x%29%20%3D%2020%20%2A%200.47)
![E(20x) = 9.4](https://tex.z-dn.net/?f=E%2820x%29%20%3D%209.4)
<em>Hence, the expected amount for a duration of 20 weeks is $9.4</em>