Answer: 0.7752
Step-by-step explanation:
Given : The proportion of all homes purchased in 2004 were considered investment properties estimated by NAR: p = 0.23
Sample size : n= 800
Required sample proportion : 
Now , the probability that at least 175 homes are going to be used as investments will be :
![P(p\geq 0.21875)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.21875-0.23}{\sqrt{\dfrac{0.23(1-0.23)}{800}}})\\\\=P(z\geq-0.756)\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=P(z-z)=P(Z](https://tex.z-dn.net/?f=P%28p%5Cgeq%200.21875%29%3DP%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5Cgeq%5Cdfrac%7B0.21875-0.23%7D%7B%5Csqrt%7B%5Cdfrac%7B0.23%281-0.23%29%7D%7B800%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%5Cgeq-0.756%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3DP%28z%3C0.756%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3E-z%29%3DP%28Z%3Cz%29%5D%5C%5C%5C%5C%3D0.7751754%5Capprox0.7752)
[using p-value calculator or z-table]
Hence, the required probability = 0.7752
Dish didxixjdjsjsjsjdjxuwhxuaiwbxuwu
Answer:
-4/3
Step-by-step explanation:
Use the slope formula:
-4 - 12/ 13 - 1
-16/12
Simplifies to -4/3
Answer:
100%
Step-by-step explanation:
Use the equation:
- percent of change= [New-Old]÷Old×100
100=(72-36)÷36×100
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
Multiply both sides by 16.
And,
Multiply both sides by 16.
Therefore, the missing side lengths are 
and 
.
