Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

In this problem we have

substitute

Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of 

Answer:
9 years old
Step-by-step explanation:
M=slope=(y2-y1)/(x2-x1)=(-6-1)/(8-8)=-7/0 which is technically undefined. This is just a vertical line namely:
x=8 (you can think of a vertical line as having infinite slope)
Answer:
The expected value is $3.95
Step-by-step explanation:
Here, we want to get the expected value
Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up
We have this as;
0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)
= 0 + 1 + 1.2 + 1 + 0.75 = 3.95
From the equation of a line;
y=mx+c
m=2
y=2x+c
Replacing for;
y=1
x=3
1=2*3+c
1=6+c
c=1-6
c=-5
<span>y=2x-5</span>