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:
85 pens
Step-by-step explanation:
The computation of the number of green pens sold is shown below;
As the number of black pens, red pens, and green pans is 3:5:6
And, the ratio of sold of black pens, red pens, and green pans is 7:3:4
So, the ratio of pens in a number of pens is
= 3 × 7 : 5 × 3 : 4 × 6
= 21: 15 : 24
= 7: 5 : 8
And, the total of 212 pens are sold
So, the number of green pens sold is
= 8 × 212 ÷ (7 + 5 + 8)
= 85 pens
Answer:
13.73 in^2 because the circle's area is 50.27 in^2
I think it's consistent and independent because consistent means it has at least one solution (which it does) and independent means that it has exactly one solution. (i wasnt familiar with these terms so i googled what they meant, i apologise in advance if i am wrong)