Answer:
yes
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data.
because not every father would be born on the same day this is a statistical question.
Answer:
75%
Step-by-step explanation:
For this case, the first thing we will do is name variables:
a: percentage from ticket sales
b: ticket sales
We have then:
a = 75%
b = (0.75) * (3200) = $ 2400
Answer:
a = 75%
b = (0.75) * (3200) = $ 2400
The amount of ticket sales is $ 2400.
Hi there!
![f(x)+f(x+1)=4f(x)](https://tex.z-dn.net/?f=f%28x%29%2Bf%28x%2B1%29%3D4f%28x%29)
There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that
:
⇒
:
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function
:
⇒ ![f(x+1)=3^x^+^1](https://tex.z-dn.net/?f=f%28x%2B1%29%3D3%5Ex%5E%2B%5E1)
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function
by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation
:
![f(x)+f(x+1)=4f(x)](https://tex.z-dn.net/?f=f%28x%29%2Bf%28x%2B1%29%3D4f%28x%29)
![3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x](https://tex.z-dn.net/?f=3%5Ex%2B3%5Ex%5E%2B%5E1%3D4%2A3%5Ex%5C%5C3%5Ex%2B3%5Ex%2A3%3D4%2A3%5Ex)
Factor the left side
![3^x*(1+3)=4*3^x](https://tex.z-dn.net/?f=3%5Ex%2A%281%2B3%29%3D4%2A3%5Ex)
Divide both sides by 3^x
![1+3=4\\4=4](https://tex.z-dn.net/?f=1%2B3%3D4%5C%5C4%3D4)
Because this equation is true,
is therefore true.
I hope this helps!
We'll have an attached picture (Ignore the labeling). We can easily observe that DF (in the picture BC), cannot be equal to the radius. Then, we cannot also claim that RD=RF. And since we are talking about the tangent segment, we'll have a right triangle. The correct answer is C)