Answer:
0.078
Step-by-step explanation:
Margin of error = z√(p(1-p)/n)
Given
p-hat = 0.43
n = 270
z at 99% confidence interval = 2.576
Substitute
MOE = 2.576√0.43(1-0.43)/270
MOE = 2.576√0.43*0.57/270
MOE = 2.576√0.2451/270
MOE = 2.576*0.030129
MOE = 0.078
Hence the margin og error is 0.078
Answer: 20 diagonales
Step-by-step explanation:
Answer:
1, 5 and 6.
Step-by-step explanation:
The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.
When C = 30, the side AB is the small leg (=x).
When B = 90, the hypotenuse is AC ( =2x).
When A = 60, the larger leg is BC (=√3x).
1. AB = 4, BC = 4√3 :- Are possible legs.
5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.
6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,


Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.