Answer:
24°
Step-by-step explanation:
the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°
thus, a and 66° combine to make 90°
a + 66° = 90°
subtract 66 from both sides to get a
a = 24°
<span>x=<span><span><span><span>−200</span>347</span><span> and </span></span>y</span></span>=<span><span>−600</span><span>347</span></span>
Given:
Population proportion,

= 57% = 0.57
Population standard deviation, σ = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%
The standard error is

The confidence interval is

where

= sample proportion
z* = 1.96 at the 95% confidence lvvel
The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)
Answer: Between 0.417 and 72.4), or between (41% and 72%)