What number balances this equation? 24+(3+6) = (24+3)+_
2 answers:
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Answer:
a)
And rounded up we have that n=1476
b)
And rounded up we have that n=1681
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".
The population proportion have the following distribution
The margin of error for the proportion interval is given by this formula:
(a)
If solve n from equation (a) we got:
(b)
Part a
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 90% 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=1476
Part b
For this case since we don't have a prior estimate we can use
And rounded up we have that n=1681
Answer:
$31.80
Step-by-step explanation:
<u><em>The complete question is</em></u>
Use the details of Oakley's new credit card to answer the question that follows. APR 11.9% compounded monthly Grace Period 28 days Minimum Payment 4% of the remaining balance or $25, whichever is higher Oakley charged $795 to his credit card last month. What is the first minimum payment he must make?
step 1
Find out the 4% of the balance of $795
so
This amount is higher than $25,
therefore
The first minimum payment he must make is $31.80
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.
The first day, the charge is $3 more than $12 per hour.
The second day, the charge is $12 less than $15 per hour.
The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...
$15/($3/h) = 5 h
The charges are the same after 5 hours.
__
If you write equations for the charges, they will look like ...
y1 = 15 + 12(x -1)
y2 = 3 + 15(x -1)
Equating these charges, we have ...
15 +12(x -1) = 3 + 15(x -1)
12x +3 = 15x -12 . . . . . . . . eliminate parentheses
15 = 3x . . . . . . . . . . add 12-12x
x = 15/3 = 5 . . . . . . divide by 3
You might notice that the math here is very similar to that described in words, above.
The charges are the same after 5 hours.
