The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:
P = 2<em>w</em> + 2<em>l</em>
64 = 2(x+2) + 2(x+6) ⇒ Distributive property
⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms
⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides
⇒ 48 = 4x ⇒ Divide both sides by 4
⇒ x = 12
Then, we use x = 12 and substitute it in to find the length and width
<em>Width</em> = (x+2) = (12+2) = 14
<em>Length</em> = (x+6) = (12+6) = 18
The dimensions of the patio is <u>14 by 18</u>
Answer:
The confidence interval is 
Step-by-step explanation:
We have given,
The Z interval (23.305,25.075)
Mean 
Sample n=30
To find : The confidence interval?
Solution :
We know, The confidence interval is in the format of

E denotes the margin of error,

Where, U is the upper limit U=25.075
L is the lower limit L=23.305



Substitute the value of E and
in the formula,


Therefore, The confidence interval is 
Answer:
y= 7^-t
Step-by-step explanation:
Equation for exponential decay:
An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.
In this question:
First option 4 is elevated, so not exponential decay.
Second option:

, thus, the second option represents exponential decay.
Your answer would be A
He had 6 dogs
4x6d=24
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation: