Answer:
And rounded up we have that n=19112
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=19112
Answer:
5^2x
Step-by-step explanation:
write the number in exponential form with a base of 5
(5^2)^x
simplify the expression by multiplying exponents
5^2x
Answer:
8.68
Step-by-step explanation:
just multiply 124.00 times 0.07 and that's it
Complete Question:
Write an equation that represents the relationship between <FCB and <GBC
Answer:
m<FCB = m<GBC
Step-by-step explanation:
Given that GE is parallel to HF, and AD crosses both, thus:
<FCB and <GBC are alternate interior angles.
Alternate interior angles are congruent.
Therefore, the equation that represents the relationship between <FCB and <GBC would be:
m<FCB = m<GBC
The $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.
<h3>What is compound interest?</h3>
It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Here,
P = $3000
r = 4% = 0.04
n = 2
t = 3 years
After plugging all the values in the formula:
After solving:
A = $3,378.49
I = A - P = 3,378.49 - 3000 = $378.49
Thus, the $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.
Learn more about the compound interest here:
brainly.com/question/26457073
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