g(x) is the translation 9 units up of f(x) = |x|
Given :
The function f(x)=|x|
we need to translate f(x) , 9 units up to get g(x)
g(x) is the translation 9 units up of f(x)
when graph of f(x) is translated 9 units up , then we add 9 at the end
If f(x)=|x| is translated 'a' units up then its becomes |x|+a
g(x) is the translation 9 units up of f(x) = |x|
So , 
Write the answer in the given form a|x-h|+k
Learn more : brainly.com/question/21960107
Answer:
Step-by-step explanation:
Answer:
So I would say something like: My living situation doesn't effect my school work I have plenty of time to do my academics. I don't travel between homes I stay in one house. And I have access to a computer and cell phone. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
∛343,8,√108
since ∛343 = 7
8 is greater than 7 so 8>∛343
and √108 = approx 10
so 7<8<10
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
