Answer:
Option C.
Step-by-step explanation:
Given information:
Sample size = 150
Number of Opinions = 3 (Yes, No, No Opinion)
Yes = 40
No = 60
No opinion = 50
We need to find the expected frequency for each group.
Expected frequency for each group is the quotient of sample size and number of opinions.



Therefore, the correct option is C.
Answer:
see explanation
Step-by-step explanation:
Given that U is the midpoint of TV, then
TU = UV , substitute values
8x + 11 = 12x - 1 ( subtract 12x from both sides )
- 4x + 11 = - 1 ( subtract 11 from both sides )
- 4x = - 12 ( divide both sides by - 4 )
x = 3
Thus
TU = 8(3) + 11 = 24 + 11 = 35
UV = 12(3) - 1 = 36 - 1 = 35
Answer with Step-by-step explanation:
We are given that

Where t corresponds to the year 2000=0
a.
Substitute the values


b.In 2004
t=4


c.In 2013
t=13

Hi there!

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
:
⇒ 
<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
:


Factor the left side

Divide both sides by 3^x

Because this equation is true,
is therefore true.
I hope this helps!
Answer:
GCF = 4
Step-by-step explanation:
The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The greatest common factor is 4.
I hope this helps :).