Secure Unsecured
Credit APR APR
FAIR 7.00 7.65
Brand new Used Car
Purchase Price: 19,072 15,635
Sales Tax 4.5%
(price x 4.5%) <u> 858.24 </u> <u> 703.58</u>
Total price 19,930.24 16,338.58
Downpayment <u> (1,200.00) </u> <u> (1,200.00)</u>
For financing 18,730.24 15,138.58
Interest: Brand New:
Secured : 18,730.24 * 7% * 1/12 = 109.26
Unsecured: 18,730.24 * 7.65% * 1/12 = 119.41
Interest: Used Car
Secured: 15,138.58 * 7% * 1/12 = 88.31
Unsecured: 15,138.58 * 7.65% * 1/12 = 96.51
The arc will be a proportion of the circumference.
The circumference is 2πr = 6.28(15 ft) = 94.2 ft
The proportion is 45/360
Then the arc is (45/360)*94.2 ft = 11.78 ft
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
Answer:
(9 1/2) * (19 1/4) = 1463/8 = 182 7/8
Step-by-step explanation:
Conversion a mixed number 9 1/2
to a improper fraction: 9 1/2 = 9 1/2
= 9 · 2 + 1/2
= 18 + 1/2
= 19/2
To find a new numerator:
a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2
= 18/2
b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19
c) Write a previous answer (new numerator 19) over the denominator 2.
Nine and one half is nineteen halves
Conversion a mixed number 19 1/4
to a improper fraction: 19 1/4 = 19 1/4
= 19 · 4 + 1/4
= 76 + 1/4
= 77/4
To find new numerator:
a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4
= 76/4
b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77
c) Write a previous answer (new numerator 77) over the denominator 4.
Nineteen and one quarter is seventy-seven quarters
Multiple: 19/2
* 77/4
= 19 · 77/2.4
= 1463/8
