An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation
Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5
Diameter
Height
=
22.5
20
Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x
22.5
20
=
x
96
9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
Answer: (17.42, 20.78)
Step-by-step explanation:
As per given , we have
Sample size : n= 9
years
Population standard deviation is not given , so it follows t-distribution.
Sample standard deviation : s= 1.5 years
Confidence level : 99% or 0.99
Significance level : 
Degree of freedom : df= 8 (∵df =n-1)
Critical value : 
The 99% confidence interval for the population mean would be :-
Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .
the answer is circle idk if it's right but it could be I'm in high school I've been through algebra 1 now in geometry
