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JulijaS [17]
3 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]3 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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Find the range of the function y=-x^2-3x when the domain is {-5, 0, 2}
ankoles [38]

The range of the function y = -x² - 3x when the domain is {-5,0,2} is:

{-10, 0}.

<h3>What is the range of a function?</h3>

The range of a function is the set that contains the output values for the given domain of the function.

In this problem, the domain is:

{-5,0,2}.

Hence the output values are:

  • -(-5)² - 3(-5) = -25 + 15 = -10.
  • -(0)² - 3(0) = 0.
  • -(2)² - 3(2) = -4 + -6 = -10.

Hence the range is:

{-10, 0}.

-10 repeats, but goes only once on the range.

More can be learned about the range of a function at brainly.com/question/10891721

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2 years ago
21
Tju [1.3M]

Answer:

64x^127

Step-by-step explanation:

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3 0
2 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

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Prime factorazation of 13​
Neporo4naja [7]

Answer:

  13 = 13

Step-by-step explanation:

13 is a prime, so 13 is its only prime factor.

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3/4 pages in 2 minutes how many pages in 1 minute
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Answer:

2 pages

Step-by-step explanation:

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