Answer:
Length of the door, <em> l</em> = 5 inches (<em>in</em>)
Width or Breadth of the door, <em>w</em> = 2 inches (<em>in</em>)
Perimeter p = 2(l + w)
= 2( 5 + 2) <em>inches</em>
<em> = 2(5) inches + 2(4) inches</em>
= 10 <em>inches</em> + 4 <em>inches</em>
= 14 <em>inches</em> or 14 <em>in</em>
Step-by-step explanation:
The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.
The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter<em> l</em> while the shorter side is known as width or breadth represented by letter <em>w</em> and<em> b </em>respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.
Answer: 1692
Step-by-step explanation:
Formula to find the sample size :
Given : Confidence level : 
⇒ significance level =
z-value for 90% confidence interval (using z-table)=
Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.
Let we take p= 0.5
Margin of error : E= 2%=0.02
Now, the required sample size will be :
Simplify , we get
Hence, the required sample size = 1692
Answer:
$20.64
Step-by-step explanation:
if you cut 61.92 in to thirds
61.92/ 3= 20.64
so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64
Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.
Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.
