Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate is of
, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.






Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
Step-by-step explanation:
hello :
2x² + 25 = -x² + 10x
2x²+x²-10x+25 =0
3x²-10x+25=0
∆ = b²- 4ac a=3 and b=-10 and c=25
∆ = (-10)²- 4(3)(25)=100 -300 = -200< 0
two complex solutions
False Sometimes its different for all
length = 12 yd
width = 10 yd
height = 12 yd
diagonal = 19.697715603592 yd
total surface area = 768 yd2
lateral surface area = 528 yd2
bottom surface area = 120 yd2
volume = 1440 yd3
Answer:
For this exercise we need to solve the next equation:
3 +6x = 2x + 27
We can start substracting 3 at both sides:
3 + 6x - 2 = 2x + 27 - 3
6x = 2x + 25
And then, we can substract 2x::
6x - 2x = 2x + 24 - 2x
4x = 25
Then, we divide by 4:
4x/4 = 24/4
x = 24/4 = 6
Now, we can see if we have done it correctly:
3 + 6*6 = 39
2 * 6 + 27 = 39
And we have seen our result is correct