Answer:

Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

In this question:
The statement is 
If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
Answer:
Let's find out!
Step-by-step explanation:
So we have to set up an equation
Let x= # of ribbons that can be cut
Thus:

So, we cannot have 36/7 ribbons! It's not possible!
So we just simplify!

There we go! She can cut 5 ribbons off!
I'll let you figure out the last one!
Hope this helps!
P.S. Stay Safe!
Answer: $21.24
Step-by-step explanation:
Well if you apply the discount you will have to pay 85% of the price which is already said .
So 85% of 24.99 will give you the cost of the shirt.
0.85 * 24.99 = 21.2415
TO the nearest penny will be 21.24
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)