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JulijaS [17]
2 years ago
11

A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian

couples. If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?
(a) 17,778(b) 4,445(c) 1,112(d) 67(e) 45
Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

(b) 4,445

Step-by-step explanation:

If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?

Given a=0.05, |Z(0.025)|=1.96 (check standard normal table)

So n=(Z/E)^2*p*(1-p)

=(1.96/0.015)^2*0.5*0.5

=4268.444

Take n=4269

Answer:(b) 4,445

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<img src="https://tex.z-dn.net/?f=%284%20%2B%206i%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(4 + 6i) {}^{2} " alt="(4 +
34kurt

Answer:

36i^{2}+48i+16

Step-by-step explanation:

(4+6i)^{2} is essentially (4+6i)(4+6i) (you are squaring (4+6i), so multiplying it by itself), so to simplify, you would need to distribute.

A good way to go about this is using the F.O.I.L. method, multiplying the First numbers in the parentheses, then the Outers, then Inners, and finally, Lasts.

(4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i)

((4*4)+(4*6i)+(6i*4)(6i*6i))

After doing so, you would end up with 16+24i+24i+36i^{2}, and after combining like terms, 16+48i+36i^{2}.

To write the expression in standard form, though, just order the terms from highest to lowest power!

5 0
2 years ago
Jill uses some of her honey to make lotion if each bottle of lotion requires 1/4 gallon and she uses a total of 3 gallons how ma
AURORKA [14]
So, we need to count up 1/4 each time till we get to 3.

1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2, 2 1/4, 2 2/4, 2 3/4, 3.

Now, let's count how many times we counted to get to 3.

12.

So, Jill used 12 bottles of lotion.

Glad I could help, and good luck!

AnonymousGiantsFan


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5 0
3 years ago
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Solve x1/6+3/4=1/4 i have to add 20 characters
dangina [55]
X=-3
It won't let me do short anwser
8 0
3 years ago
Can you think of a number where we multiply by 2 then subtract 4 and the result is 40 ​
OLEGan [10]
<h2>22 is the correct answer!</h2><h3></h3><h3>I solved it backwards:</h3><h3>40 + 4 = 44</h3><h3>44 ÷ 2 = <u>22</u></h3><h3></h3><h3>Double-check:</h3><h3>22 x 2 = 44</h3><h3>44 - 4 = 40</h3><h3></h3><h3><em>Please let me know if I am wrong.</em></h3>
7 0
3 years ago
Read 2 more answers
-3. f(-8) + 7.9(2) =
antoniya [11.8K]

Answer:

24f+15.8

Step-by-step explanation:

6 0
3 years ago
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