Answer:
mode: number that appears most
mode=4 and 7
mean: =3+4+5+6+7+8+9+10+11÷9=7
so mean is 7
Answer:
Step-by-step explanation:
This is really a sloppy diagram. You have to know if the base of the triangle is 5 or 10.
It is 5. So the area of 1 of the triangles is 1/2 * b * h
b = 5
h = 8.7
Area = 1/2 * 8.7 * 5 = 21.75
There are 4 such triangles. The total area = 4 * 21.75 = 87 sqr in
Answer is y= - 3/4x - 3 1/2
Step by step
We are looking for y = mx + b equation
First we find the two points on the graph
(-6, 1) and (2, -5)
Now we will find slope by finding change in y over change in x
(Y2 - y1) over (x2 - x1)
( -5 -1) over ( 2 - (-6) )
-6 over 8
reduce to -3/4 is slope “m”
Now we can solve for “b”
Substitute one set of points and your slope you just found into the equation
Let’s use ( 2, -5)
y = mx + b
-5 = ( -3/4) (2) + b
-5 = -3/2 + b
Now add 3/2 (same as 1-1/2) to both sides to isolate “b”
-5 + 3/2 = -3/2 + 3/2 + b
-3 1/2 = b
Now we have y= -3/4 - 3 1/2 for your equation!
Problem solved.
Answer:
We can now prove Euler's formula (v − e + f = 2) works in general, for any connected simple planar graph. Proof: by induction on the number of edges in the graph. Base: If e = 0, the graph consists of a single vertex with a single region surrounding it. So we have 1 − 0 + 1 = 2 which is clearly right.
Answer:
option(B)
Step-by-step explanation:
1 + 1 × 2
using BODMAS, Multiplication comes first then Addition
=> 1 + (1 × 2)
=> 1 + 2
=> 3
