Answer:
The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.
(x + y)0 (x + y)1 (x + y)² (x + y)3 (x + y)41 x + y x² + 2xy + y² x3 + 3x2Y + 3xY2 + y3 x4 + 4x3Y + 6x2Y2 + 4XY3 + Y4
HOPE THIS HELPS!
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3
Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3
Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)
Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8
The equation is y = (1/3)x + 8
Answer:
Step-by-step explanation:
Given the data table :
x : __ $2_ $14_ _$20 __ $100
P(x) : 0.40_ 0.20 _0.20 _0.20
The mean :
E(x) = Σ(x*p(x))
E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)
E(x) = 27.6
The standard deviation :
SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)
Σ(x² * p(x)) - E(x)² :
((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2
2120.8 - 761.76
= 1359.04
Sqrt(1359.04)
SD(x) = 36.865159
SD(x) = 36.87
Answer:
2600
Step-by-step explanation:
Just simply multiply 130 x 20 because for every sheet it only takes 1/20 of the ream. You should get 2600
Answer:
= 1
Step-by-step explanation:
You have to calculate the following limit:
To solve the previous limit, you can factor x from numerator and denominator of the function, and use the fact that c/∞ = 0 with c a constant.
Hence, the limit is 1, L = 1
