Graph the function y equals 2x + 1 + y equals 2x + 4 on the same grid to determine whether they are lying or not aligned near de
1 answer:
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Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
- 1.73 - 0.09 = $1.64.
- 1.73 + 0.09 = $1.82.
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
- 1.73 - 3 x 0.09 = $1.46.
- 1.73 + 3 x 0.09 = $2.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
$2.77
Step-by-step explanation:
Here's one way to do it.
Data:
We must express the interest rate on a monthly basis.
i = 7.5 %/yr = 0.625 %/mo = 0.006 25
A = $1300
n = 6 mo
A. Monthly payments
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is
Calculation:
P = $221.43
B. Total amount paid over six months
Paid = 6 × 221.43
Paid = $1328.58
C. Amount paid after four months
Paid = 4 × 221.43
Paid = $885.72
D. Balance owed after four months
Owed = 1328.58 - 885.72
Owed = 1341.14 – 1121.08
Owed = $442.86
E. Interest included in Payment 5
I = Pi
I = 442.86 × 0.006 25
<em>I = $2.77 </em>
The interest included in Payment 5 is $2.77.