The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
<h3>What is the margin of error(MOE)?</h3>
It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
As we know, the sample size can be evaluated using the expression:
or
Here ME = 1% = 0.01
p = 0.5, q = 0.5
Z at α 0.05 (because 95% confident)
= 1.960
n = 9604
Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ1
Answer:
sin(2x)=cos(π2−2x)
So:
cos(π2−2x)=cos(3x)
Now we know that cos(x)=cos(±x) because cosine is an even function. So we see that
(π2−2x)=±3x
i)
π2=5x
x=π10
ii)
π2=−x
x=−π2
Similarly, sin(2x)=sin(2x−2π)=cos(π2−2x−2π)
So we see that
(π2−2x−2π)=±3x
iii)
π2−2π=5x
x=−310π
iv)
π2−2π=−x
x=2π−π2=32π
Finally, we note that the solutions must repeat every 2π because the original functions each repeat every 2π. (The sine function has period π so it has completed exactly two periods over an interval of length 2π. The cosine has period 23π so it has completed exactly three periods over an interval of length 2π. Hence, both functions repeat every 2π2π2π so every solution will repeat every 2π.)
So we get ∀n∈N
i) x=π10+2πn
ii) x=−π2+2πn
iii) x=−310π+2πn
(Note that solution (iv) is redundant since 32π+2πn=−π2+2π(n+1).)
So we conclude that there are really three solutions and then the periodic extensions of those three solutions.
5.8K views
View upvotes
5
Related Questions (More Answers Below)
• Answer:
x = 2
• Step-by-step explanation:
AB = AC/2 = 16/2 = 8
AB = 2x + 4
8 = 2x + 4
2x = 8 - 4
2x = 4
x = 4 : 2
x = 2
