Step-by-step explanation:
The given function is :
(a) To find f(9), put x = 9 in the above expression.
(b) To find f(x+7), put x = x+7 in the above expression.
(c) To find f(-x), put x = -x in the above expression.
Hence, this is the required solution.
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144
The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95
If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
Answer:
Line segment A B is longer than Line segment F D. This is the correct statement from the given statements.
Step-by-step explanation:
Given:
In ΔABC and ΔFDE
Segment AC≅Segment FE
Segment BC≅Segment DE
∠BCA = 72° and ∠DEF = 65°
Now by the property of a Triangle we know that
Side opposite to the greater angle is longer than the side opposite to the smaller angle.
So, Side opposite to the greater angle (∠BCA = 72°) is AB and
The side opposite to the smaller angle (∠DEF = 65°) is FD.
Therefore, side AB is Longer than side FD.
Answer: 115%
Step-by-step explanation: ur welcome
