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zheka24 [161]
2 years ago
15

Benchmark fraction 1/2 is greater equivalent or less than 1/3 to 5/8

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

the is no, 1/2 is greater than 1/3 to 5/4

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
If (2,0) is a solution of the linear equation 2x+3y=k,then the value of k is​
Margarita [4]

Answer:

k = 4

Step-by-step explanation:

Plug in the values of 2 for x and 0 for y, and solve for k.

2x + 3y = k

2(2) + 3(0) = k

4 = k

k = 4

8 0
3 years ago
Read 2 more answers
] What percentage of the last 30 U.S. Presidents were inaugurated at the age of 60 or later? (Round to 1 decimal place.)
svetlana [45]

Answer:

20.0%

Step-by-step explanation:

The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.

The presidents that are 60 and above years during this period include

Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.

Making 6 of them out of 30

The percentage is given by

Number of presidents aged 60 and above×100/Total number of presidents

6×30/100=20%

7 0
3 years ago
Help me out please and thanks
omeli [17]

Answer:

Step-by-step explanation:

If you are trying to <u>solve the system of equations</u> then its

(x,y)=(-1,2)

If you are trying to <u>rewrite the system of equations</u> then its

x+6y=11

x-2y=-5

3 0
3 years ago
Rewrite 8x6+8x7 using the distributive property
Tema [17]

Answer:

8x(6+7)

Step-by-step explanation:

4 0
3 years ago
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