Answer:
8, 18, 23, 43
Step-by-step explanation:
x = 2 => y = 8
x = 4 => y = 18
x = 5 => y = 23
x = 9 => y = 43
Answer:
difference of squares
Step-by-step explanation:
a^2 - b^2 = (a-b)(a+b)
This is the definition of the difference of squares
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
As, v=√2as
Squaring both sides,
v²=2as
∴ s= v²/2a