Answer:
0.75
Step-by-step explanation:
0+7.5=7.5
1.5-7.5=7.5
Answer: (0.685, 0.735)
Explanation:
First, we will compute the confidence level of the given:
![\text{ Confidence Level }=\frac{36}{40}\times100\%=90\%](https://tex.z-dn.net/?f=%5Ctext%7B%20Confidence%20Level%20%7D%3D%5Cfrac%7B36%7D%7B40%7D%5Ctimes100%5C%25%3D90%5C%25)
They gave us a margin of error of 0.025. From the given, we know that p=71%=0.71.
The confidence interval would then be:
![\begin{gathered} (p-E,p+E) \\ =(0.71-0.025,0.71+0.025) \\ =(0.685,0.735) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28p-E%2Cp%2BE%29%20%5C%5C%20%3D%280.71-0.025%2C0.71%2B0.025%29%20%5C%5C%20%3D%280.685%2C0.735%29%20%5Cend%7Bgathered%7D)
Therefore, the confidence interval would then be (0.685, 0.735)
Answer:
The value of the house after 10 years will be $176,325.
Step-by-step explanation:
The value
of the house appreciates 3.5% each year, which means after 1 year its value will be
,
after 2 years
,
after 3 years
![y =\$ 125,000(1.035)(1.035)(1.035)](https://tex.z-dn.net/?f=y%20%3D%5C%24%20125%2C000%281.035%29%281.035%29%281.035%29)
and so on.
Thus after <em>n</em>th year the value of the house will be
.
Therefore, after 10 years the house will be worth
.
Answer:
![R=(\dfrac{b}{2},0)](https://tex.z-dn.net/?f=R%3D%28%5Cdfrac%7Bb%7D%7B2%7D%2C0%29)
![S=(\dfrac{b+c}{2},\dfrac{d}{2})](https://tex.z-dn.net/?f=S%3D%28%5Cdfrac%7Bb%2Bc%7D%7B2%7D%2C%5Cdfrac%7Bd%7D%7B2%7D%29)
![T=(\dfrac{c+e}{2},\dfrac{d+f}{2})](https://tex.z-dn.net/?f=T%3D%28%5Cdfrac%7Bc%2Be%7D%7B2%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B2%7D%29)
![U=(\dfrac{e}{2},\dfrac{f}{2})](https://tex.z-dn.net/?f=U%3D%28%5Cdfrac%7Be%7D%7B2%7D%2C%5Cdfrac%7Bf%7D%7B2%7D%29)
![M=(\dfrac{b+c+e}{4},\dfrac{d+f}{4})](https://tex.z-dn.net/?f=M%3D%28%5Cdfrac%7Bb%2Bc%2Be%7D%7B4%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B4%7D%29)
![M=(\dfrac{c+b+e}{4},\dfrac{d+f}{4})](https://tex.z-dn.net/?f=M%3D%28%5Cdfrac%7Bc%2Bb%2Be%7D%7B4%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B4%7D%29)
Step-by-step explanation:
We are given coordinates as:
![A(0,0)\ ,\ B=(b,0)\ ,\ C=(c,d)\ ,\ D=(e,f)\\\\R=(\dfrac{b}{2},0)\ ,\ S=(\dfrac{b+c}{2},\dfrac{d}{2})\ ,\ U=(\dfrac{e}{2},\dfrac{f}{2})\ ,\ T=(\dfrac{c+e}{2},\dfrac{d+f}{2})](https://tex.z-dn.net/?f=A%280%2C0%29%5C%20%2C%5C%20B%3D%28b%2C0%29%5C%20%2C%5C%20C%3D%28c%2Cd%29%5C%20%2C%5C%20D%3D%28e%2Cf%29%5C%5C%5C%5CR%3D%28%5Cdfrac%7Bb%7D%7B2%7D%2C0%29%5C%20%2C%5C%20S%3D%28%5Cdfrac%7Bb%2Bc%7D%7B2%7D%2C%5Cdfrac%7Bd%7D%7B2%7D%29%5C%20%2C%5C%20U%3D%28%5Cdfrac%7Be%7D%7B2%7D%2C%5Cdfrac%7Bf%7D%7B2%7D%29%5C%20%2C%5C%20T%3D%28%5Cdfrac%7Bc%2Be%7D%7B2%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B2%7D%29)
Now, it is given that M is the mid-point of the line segment RT and of US.
Hence, the coordinates of M is given as:
By taking the mid-point of side RT.
![M=(\dfrac{\dfrac{b}{2}+\dfrac{c+e}{2}}{2},\dfrac{0+\dfrac{d+f}{2}}{2}})\\\\\\i.e.\\\\\\M=(\dfrac{b+c+e}{4},\dfrac{d+f}{4})](https://tex.z-dn.net/?f=M%3D%28%5Cdfrac%7B%5Cdfrac%7Bb%7D%7B2%7D%2B%5Cdfrac%7Bc%2Be%7D%7B2%7D%7D%7B2%7D%2C%5Cdfrac%7B0%2B%5Cdfrac%7Bd%2Bf%7D%7B2%7D%7D%7B2%7D%7D%29%5C%5C%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5C%5CM%3D%28%5Cdfrac%7Bb%2Bc%2Be%7D%7B4%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B4%7D%29)
By taking the mid-point of side US.
![M=(\dfrac{\dfrac{e}{2}+\dfrac{b+c}{2}}{2},\dfrac{\dfrac{f}{2}+\dfrac{d}{2}}{2})\\\\\\i.e.\\\\\\M=(\dfrac{b+c+e}{4},\dfrac{d+f}{4})](https://tex.z-dn.net/?f=M%3D%28%5Cdfrac%7B%5Cdfrac%7Be%7D%7B2%7D%2B%5Cdfrac%7Bb%2Bc%7D%7B2%7D%7D%7B2%7D%2C%5Cdfrac%7B%5Cdfrac%7Bf%7D%7B2%7D%2B%5Cdfrac%7Bd%7D%7B2%7D%7D%7B2%7D%29%5C%5C%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5C%5CM%3D%28%5Cdfrac%7Bb%2Bc%2Be%7D%7B4%7D%2C%5Cdfrac%7Bd%2Bf%7D%7B4%7D%29)