Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that 
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Margin of error:
The margin of error for the 90% confidence interval is of 0.038.
Let the principal be 'x' then the Amount will be 4x.
As the interest is compounded monthly:
Rate of interest = 10.1 % = 10.1/(100*12) = 0.101/12
Time = 12t
Amount = Principal[1 + Rate/100]
⇒ 4x = x[1 + 0.101/12]¹²t
⇒ 4x/x [1 + 0.008416667]¹²t
⇒ 4 = [1.008416667]¹²t
⇒ log(4) = log[1.008416667]¹²t
⇒ 0.602059991327 = [0.003640014891]¹²t
⇒ 12t = 0.602059991327/0.003640014891
⇒ 12t = 165.400419876
⇒ t = 165.400419876/12
t = 13.78 years or 13 years 9 months.
So, it is about 13 years 9 months she will have 4 times the amount of money.
Answer:
4(2x + 3)
Step-by-step explanation:
Given
8x + 12 ← factor out the common factor of 4 from both terms
= 4(2x + 3)
<h2>
Answer:</h2>
15 minutes
<h2>
Step-by-step explanation:</h2>
For every hour of homework she gets 5 minutes of video games.
She spend 3 hours of homework.
We multiply 3*5
Answer is 15
