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vodomira [7]
3 years ago
8

Identify the type of sampling​ used: random,​ systematic, convenience,​ stratified, or cluster. To estimate the percentage of de

fects in a recent manufacturing​ batch, a quality control manager at MicrosoftMicrosoft selects every 1414th software CDsoftware CD that comes off the assembly line starting with the eightheighth until she obtains a sample of 140140 software CDssoftware CDs. Which type of sampling is​ used?
Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

Systematic sampling is used.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Every 14th CD.

So systematic sampling is used.

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Step-by-step explanation:

<u>We know that:</u>

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  P' = (4, 4)

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<em>Comment on notation</em>

The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:

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3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Ctt%286x4%E2%88%922x3%20%2B7x2%20%E2%88%92x%29%20%2B%20%28%207x4%2B%202x3%E2%88%925x%20%2
Vadim26 [7]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3}  +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)

\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3}  +7x {}^{2} −x +  7x {}^{4} + 2x {}^{3} −5x + 7

Now, move all like terms aside :

\qquad \tt \dashrightarrow \:6 {x}^{4}  + 7 {}x^{4}  - 2 {x}^{3}  + 2 {x}^{3}  + 7 {x}^{2}  - x - 5x + 7

Add the like terms ~

\qquad \tt \dashrightarrow \:13 {}x^{4}   + 7 {x}^{2}   + 6x + 7

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