The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)
g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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Answer:
$65.07
Step-by-step explanation:
We know in this problem they charge a $19.95 fee plus the total number of miles.
0.24 times 188 = 42.12 that´s only for the miles then the rental fee
42.12 + 19.95= 65.07
Answer:
How long is each piece of wood?
Expression = 32/x
Solve: How long is each piece of wood if
Hunter cuts the original piece into 8
pieces?
32/8 = 4 foot
Answer:
a) Var[z] = 1600
D[z] = 40
b) Var[z] = 2304
D[z] = 48
c) Var[z] = 80
D[z] = 8.94
d) Var[z] = 80
D[z] = 8.94
e) Var[z] = 320
D[z] = 17.88
Step-by-step explanation:
In general
V([x+y] = V[x] + V[y] +2Cov[xy]
how in this problem Cov[XY] = 0, then
V[x+y] = V[x] + V[y]
Also we must use this properti of the variance
V[ax+b] = 
V[x]
and remember that
standard desviation = ![\sqrt{Var[x]}](https://tex.z-dn.net/?f=%5Csqrt%7BVar%5Bx%5D%7D)
a) z = 35-10x
Var[z] = 
Var[x] = 100*16 = 1600
D[z] = 
= 40
b) z = 12x -5
Var[z] = 
Var[x] = 144*16 = 2304
D[z] = 
= 48
c) z = x + y
Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = 
= 8.94
d) z = x - y
Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = = 8.94
e) z = -2x + 2y
Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320
D[z] = 
= 17.88
If it goes through the origin of a graph
