Answer:
See explanation below.
Step-by-step explanation:
Let's say,
x = number of tokens required to play one game of ping pong
y = number of token required play one game of pinball
Using the data given, the system of equations are:

Solving the system of equations using substitution method will give us:

So, one game of ping pong required 1 token, whereas one game of pinball required 4 tokens.
Answer:
-3119
Step-by-step explanation:
(-5)^2 - 2 x (-9) + 6
-5^2 - 2 x -9 + 6
-3125 - 2 x -9 + 6
-3125 - -18 + 6
-3125 - -6
-3119
I hope this helps :)
Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
A circle is characterized by radius, arc, sectors and circumference
- The length of the major arc is

- The radius of the circle is 15
- The area of the shaded sector is

<h3>Length of the major arc</h3>
The given parameters are:
--- the circumference
-- the center angle
The length of the major arc is calculated using:

So, we have:

Evaluate

Hence, the length of the major arc is 
<h3>The radius of the circle</h3>
The circumference is given as:

So, we have:

Divide through by 2pi

Hence, the radius of the circle is 15
<h3>The area of the shaded sector</h3>
The area of a sector is:

So, we have:

Evaluate

Hence, the area of the shaded sector is 
Read more about circumference at:
brainly.com/question/15673093