Answer:
Direct variation is the relationship between two variables, whereby if one variable increases, the other also increases and vice versa. If one variable increases if the other decreases, it is called inverse variation.
Step-by-step explanation:
Answer:
<u>Fred paid US$ 310 to Social Security as a payroll tax</u>
<u>Fred paid US$ 72.50 to Medicare as a payroll tax</u>
<u>Fred paid 18% of his income to the Federal government as an income tax</u>
<u>Fred paid 5% of his income to the state government as an income tax</u>
Step-by-step explanation:
Fred's earnings in June were $ 5,000
A. Payment to Social Security
5,000 * 6.2% = 5,000 * 0.062 = 310
B. Payment to Medicare
5,000 * 1.45% = 5,000 * 0.0145 = 72.50
C. Federal Income Tax
900/5,000 = 0.18 = 18%
D. State Income Tax
250/5,000 = 0.05 = 5%
Answer:
A sample size of 474 is required.
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 z-score that has a p-value of 
.
The margin of error is of:
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that 
95% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
Rounding up:
A sample size of 474 is required.
Answer:
Yes
Step-by-step explanation:
4*180
2*360
1*720
8*90 = 720
