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faust18 [17]
2 years ago
15

Broccoli tastes bitter to some people. This bitterness is inherited through the TAS2R38 gene. About 52% of the population has th

is gene. You want to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 5% margin of error and 90% confidence, to estimate the proportion of people who carry the TAS2R38 gene?
100 people
10,000 people
271 people
37 people
514 people
Mathematics
1 answer:
Eddi Din [679]2 years ago
3 0

Answer:

271 people

Step-by-step explanation:

Margin of error = critical value × standard error

At 90% confidence, the critical value is 1.645.

Standard error for a proportion is s = √(p (1 − p) / n).

0.05 = 1.645 √(0.52 (1 − 0.52) / n)

n = 271

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Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times t
alisha [4.7K]
Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

Population density is the ratio of population to area. Its units are persons per square mile. Here, you're being asked to compare the population densities of several countries to the average population density in several US states.

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<h3>average</h3>

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The 5 countries have population densities ranging from about 7.7 to 236 people per square mile. Two of the countries have density below 10.5, so are the answers to the question asked.

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