Step-by-step explanation:
B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.
A is a reflection.
C is a dilation.
D is a rotation.
Answer: 2.12 × ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
The coefficient (in green) will be 2.12
Step-by-step explanation:
Scientific notation is written by multiplying the number by a power of 10. This number is a number between 1 and 10.
Since this is a smaller number, we will be multiplying it by a power of 10 to a negative number.
To get this value to a number between 1 and 10, we must multiply it by 10 3 times (also shown as 10³) which gives us 2.12.
To get back to the original value, we multiply this by
. This gives us our answer.
<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)
Answer:
Length: 11 meters
Width: 8 meters
Step-by-step explanation:
11 + 11 + 8 + 8 = 38
8 + 8 = 16
16 - 11 = 5