Answer:
The required probability is
Step-by-step explanation:
Consider the provided information.
We need to find the probability that the first flip results in a head.
Therefore probability of lending head is
The first flip is head can be calculated as:
Integrate the above function as shown below:
Hence, the required probability is
We know that
The sum of exterior angles of any polygon is 360 degrees.
Each exterior angle of a regular polygon = 360/n
where n is the number of sides.
<span>So
n = 360/20 = 18
</span>
the answer is the option
<span>b.18 </span>
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then .
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for :
Combine like terms and :
We are given .
So we have that .
The vertex happens at .
Compare to to determine .
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named at :
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is .
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
Y = -5/4x + 8
I can explain it if you want. Or if you want the standard form or the point-slope form, I’ll give it to you and explain of you want.
Answer:
Y=4/3x-2
Step-by-step explanation:
Slope is 4/3