Answer:
Mean = 40.75
Median = 36.5
No mode.
Step-by-step explanation:
We are given the following data:
52, 25, 15, 0, 104, 44, 60, 30, 33, 81, 40, 5
Formula:
Sorted data: 0, 5, 15, 25, 30, 33, 40, 44, 52, 60, 81, 104
Mode is the most frequent observation in the data.
Since all the observations repeated exactly once, there is no mode.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
<h3>What is the inverse of a function?</h3>
A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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The sum of the given expression { (w - 2.4) + (1 - 0.5w) } is 0.5w - 1.4.
<h3>What is the sum of the given expression?</h3>
Given the expression in the question;
(w - 2.4) + (1 - 0.5w)
Remove the parenthesis
w - 2.4 + 1 - 0.5w
Collect like terms and simplify
w - 2.4 + 1 - 0.5w
w - 0.5w - 2.4 + 1
1w - 0.5w - 2.4 + 1
0.5w - 1.4
Therefore, the sum of the given expression { (w - 2.4) + (1 - 0.5w) } is 0.5w - 1.4.
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You would want to add 5.2 to both sides to get 4.2y by itself on one side. Then you would divide both sides by 4.2 to get y by itself. Whatever y equals is the answer. Hope this Helps!
area of first figure=444
area of second figure=57
area of third figure=132
Explanation
The first figure
has 9 faces, 2 triangular and 7 rectangular.
bottom face-rectangle
length=16
breadth=5
area=l*b=16*5=80(1)
two similar rectangular faces
length=16
breadth=4
area=l*b=16*4=64
area of two faces=2*64=128(2)
two similar rectangular faces
length=5
breadth=4
area=5*4=20
area of two faces=2*20=40(3)
two top slant faces-rectangular
length=10
breadth=5
area=10*5=50
area of two faces=2*50=100(4)
two triangular top faces
base=16
height=6
area=1/2 bh=1/2 *16*6=48
area of two faces=2*48=96(5)
total area of the structure=(1)+(2)+(3)+(4)+(5)=80+128+40+100+96=444
The second figure
It has two triangles
triangle 1
length=7
breadth=3
area1=l*b=21
triangle 2
length=9
breadth=4
area2=l*b=9*4=36
total area=area1+area2=21+36=57
<u>T</u><u>he third figure </u>
It has a rectangle and triangle
r<u>ectangle</u>
length=20
breadth=6
area1=l*b=20*6=120
triangle
base=20-(8+6)=20-14=6
height=10-6=4
area2=1/2 bh=1/2*6*4=12
total area=area1+area2=120+12=132