Answer:
-x2+25x-5
Step-by-step explanation:
7x+2x−3x2+9x+5x+8x2−6x2+2x−5
=−x2+25x−5
Answer:
314.2ft^2
Step-by-step explanation:
Given data
Diameter= 20ft
Radius r= 20/2= 10ft
The expression for the area is
A= πr^2
A= 3.142*10^2
A= 3.142*100
A= 314.2ft^2
Hence the area is 314.2ft^2
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
To solve this, we'll use Euler's Polyhedral formula.
This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:
If we solve for the edges E, we'll get:
Using the data given,
We get that the polyhedron would have 12 edges
