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
Find out how many months will it take for Jeff to weigh the same as Darius .
To prove
As given
Jeff and Darius are trying to gain weight for the football team.
Jeff weighs 120 pounds and is gaining ten pounds per month.
Darius weighs 150 pounds and is gaining 4 pounds per month.
m = represented the number of months will taken by the Jeff to weigh the same as Darius .
Than the equation become in the form
120 + 10m = 150 +4m
150 - 120 = 10m - 4m
30 = 6m
m = 5 months
Therefore in 5 months will it take for Jeff to weigh the same as Darius.
Step-by-step explanation:
We have to get one positive 7y so,
4x-7y=5
9x-7y=-15
multiply anyone of the equation by -1. I choose the first one so,
4x+7y=-5
9x-7y=-15
we can now cancel the y's so the equation will be left with
-4x=-5
9x=-15
add the equations
5x=-20
divide by 5 n u get
x=-4
now plug in the x value in any one of the
equations
I choose the first one so,
4(-4)-7y=5
-16-7y=5
add 16 to both sides
-7y=21
divide by -7
y=-3.
finally check.
