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).
Take out the factor of 3 from both numbers
(69)/3 = 23
(12)/3 = 4
69 + 12 can be rewritten as 3(23 + 4)
~
Answer:
4.5
miles
Step-by-step explanation:
Well, he runs
3
miles in
28
minutes. Also, see that
42
=
28
⋅
1.5
.
So, his journey would just be running
1.5
times, with each time running
28
minutes.
So, he runs a total of
1.5
⋅
3
=
4.5
miles
$1068.66
675.48 - 67.32 + 920 - 585 + 125.5 = $1068.66
Hello!
As you can see, we have a radius of 6. If we divide, this means that this is 2.5 radians. To convert radians to degrees we use the formula below.
First of all we divide 180 by pi.
180/
≈57.3
Now we multiply by 2.5
57.3(2.5)=143.25°
Note that the angle we see is obtuse, or greater than 90°.
Therefore, ∠<span>θ</span>≈143.25°
Now we need to convert this back into radians. This can be represented by the equation below.
First we divide pi by 180 then multiply by our angle.
/180(143.25)≈2.5
Therefore, our angle theta is about
2.5 radians.
I hope this helps!