First, you want to establish your equations.
L=7W-2
P=60
This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.
60=2(7W-2+W)
Now that we only have 1 variable, we can solve.
First, distribute the 2.
60=14W-4+2W
Next, combine like terms.
60=16W-4
Then, add four to both sides.
64=16W
Lastly, divide both sides by 16
W=4
To find the length, we plug in our width.
7W-2
7(4)-2
28-2
L=26
Answer:
-3
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)
tan 45 = 1
\AD\ = 100 - 64 = 36
to find x , remember SOCAHTOA
tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle
Tan 45 = opposite / adjacent
1 = 36/x
x = 36
<u>Answer-</u>
A 95% confidence interval for the true percent of movie goers is 36.41% to 44.25%
<u>Solution-</u>
Given,
n = 600 (sample size)
x = 252 (number of people who bought)
Confidence interval = 95%, so z = 1.96
We know that,
![\mu = M\pm Z(SE)](https://tex.z-dn.net/?f=%5Cmu%20%3D%20M%5Cpm%20Z%28SE%29)
where,
M = sample mean
Z = Z statistic determined by confidence level
SE = standard error of mean
Calculating the values,
![M=\frac{x}{n} =\frac{242}{600} =0.4033](https://tex.z-dn.net/?f=M%3D%5Cfrac%7Bx%7D%7Bn%7D%20%3D%5Cfrac%7B242%7D%7B600%7D%20%3D0.4033)
from the tables
![SE=\sqrt{\frac{M\times (1-M)}{n}}](https://tex.z-dn.net/?f=SE%3D%5Csqrt%7B%5Cfrac%7BM%5Ctimes%20%281-M%29%7D%7Bn%7D%7D)
![\Rightarrow SE=\sqrt{\frac{0.4033\times (1-0.4033)}{600}}=0.02](https://tex.z-dn.net/?f=%5CRightarrow%20SE%3D%5Csqrt%7B%5Cfrac%7B0.4033%5Ctimes%20%281-0.4033%29%7D%7B600%7D%7D%3D0.02)
Putting all the values in the formula,
![\mu = M\pm Z(SE)](https://tex.z-dn.net/?f=%5Cmu%20%3D%20M%5Cpm%20Z%28SE%29)
![\mu = 0.4033\pm 1.96(0.02)](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.4033%5Cpm%201.96%280.02%29)
![=0.4033\pm 0.0392](https://tex.z-dn.net/?f=%3D0.4033%5Cpm%200.0392)
![=0.4425, 0.3641](https://tex.z-dn.net/?f=%3D0.4425%2C%200.3641)
![= 44.25\%,36.41\%](https://tex.z-dn.net/?f=%3D%2044.25%5C%25%2C36.41%5C%25)