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astra-53 [7]
3 years ago
12

Identify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation descri

bed below. A researcher selects every 717 th social security number and surveys the corresponding person.
Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Sampling is a technique that seeks to extract a part of the elements that make up the population that we are going to study, so that the distribution of the sample is similar to that of the population, for this reason randomized procedures are usually used.

Systematic sampling is a procedure that requires that the elements of the population be numbered (<em>for example the social security number</em>), then a single number is chosen randomly and from this, with a constant period or interval, the other objects are selected of the sample (<em>for example every 717 numbers</em>)

Answer: the situation describes a systematic sampling

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
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ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


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The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

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Then
m_1 \times m_2 =  - 1


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This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

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This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



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