9514 1404 393
Answer:
top-down
f(g(x)) = 1, 4, 5, 3, 2
g(f(x)) = 5, 2, 4, 1, 3
Step-by-step explanation:
To find f(g(x)), locate g(x) in the third column (labeled g(x)). Use that value as x in the first column, then read f(x) from the second column.
Example: f(g(1)) = f(2) = 1
__
To find g(f(x)), locate f(x) in the second column (labeled f(x)). Use that value as x in the first column, and read the corresponding g(x) from the third column.
Example: g(f(1)) = g(2) = 5
We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50

2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60

3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60

3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28

784=100+576
784=676 that is false