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Art [367]
3 years ago
11

According to Pew Research, the contact rate (probability of contacting a selected household) was 90% in 1997 and 62% in 2012. Ho

wever, the cooperation rate (probability of someone at the contacted household agreeing to be interviewed) was 43% in 1997 and dropped to 14% in 2012. (a) What is the probability (in 2012) of obtaining an interview with the next household on the sample list
Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

14% probability of obtaining an interview with the next household on the sample list

Step-by-step explanation:

Cooperation rate of 14%

This means that the probability of someone at the contacted household agreeing to be interviewed is 14%, and the probability of a person agreeing to be interviewed in a household is independent of what happened in other households, that is, for each household, there is a 14% probability of obtaining an interview.

14% probability of obtaining an interview with the next household on the sample list

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The difference between two numbers is 12. The LCM of the two numbers is 133. Find the two numbers.
nikitadnepr [17]
If the difference between two numbers is 12, those two numbers may be:

13...1
14...2
15...3
16...4
etc...

We can ignore numbers which can be divided by themselves (like 2...14 or 4...16), so we have:

13...1
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Let's stop here and find LCMs of given numbers:

13...1 = 13
17...5 = 85
19...7 = 133
20...8 = 40
21...9 = 63
22...10 = 110

So as we  can see the numbers we're looking for are 19 and 7.
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Step-by-step explanation:

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