Solution :
Given :
,
Sample proportion,
= 0.7577
Sample proportion,
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
=
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
I'm going to round these numbers to make them easier to work with. We will get an approximate answer.
<span>350 / 2000 </span>
<span>= 35 / 200 </span>
<span>= 3.5 / 20 </span>
<span>= 0.35 / 2 </span>
<span>= 0.175
answer is 0.175</span>
Answer: 56 degrees
Step-by-step explanation:
We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).
124 and c are supplementary angles. We can represent this in an equation to solve for c:
2x + y = - 8
y = - 2x - 8
Since we are looking for a parallel line, we use the same slope of - 2x.
y = - 2x + b
Plug in your given point.
5 = - 2(- 3) + b
5 = 6 + b
5 - 6 = b
-1 = b
Your equation is y = - 2x - 1
Since the cosine is zero when the angle is an odd multiple of
, you have
.
Divide both sides by 2 and you get