Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Answer:
no solution
Step-by-step explanation:
The lines do not cross at any point; therefore, there is no solution.
X + 4y = 4
-x + 2y = 8
x + 4y - x + 2y = 4 + 8
6y = 12
y = 2
x + 4(2) = 4
x + 8 = 4
x = -4
(x,y)
(-4,2)
T = 30
A = 4c
A + c = T
Anna Claire has 6 pencils. Times 4 makes Ally's pencil count. 4 * 6 = 24
24 + 6 = 30. So, you answer is: Ally has 24 pencils.