Answer: 126
Step-by-step explanation:
As per given , we have
Prior Population proportion : 
Significance level : 
Critical value for 95% confidence interval (using the z-value table) = 
Margin of error (maximum error): 
Formula to find the sample size :
Therefore , the required minimum sample size = 126
2 5/6 is the answer.
Hope this helps! >.<
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
<em>Additional</em><em> comment</em><em>:</em>
- The conjugate of a+ib is a-ib and
- i = -1
- (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
Considering that the data is only noted and not changed, this is an example of an observational study.
<h3>What are observational and experimental studies?</h3>
- Experimental study: In an experimental study, there is an intervention in a sample, and it's effect is studied.
- Observational study: In an observational study, the sample is just analyzed, without any intervention.
In this problem, the data, which is the number of miles traveled, is only analyzed, no interventions are made, hence this is an example of an observational study.
More can be learned about observational studies at brainly.com/question/24321224
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The perimeter of a rectangle is twice the sum of its side lengths.
P=2(L+W), we are told that L=3W and P=176 so
2(3W+W)=176
2(4W)=176
8W=176
W=22 ft, since L=3W
L=66 ft
So the yard is 22 feet wide and 66 feet long.
