Each question has three possible distinct answers.
Ten questions have 3^10 possible distinct answers sheets.
=>
(3^10)+3 will guarantee that at least 3 answer sheets are identical.
Numerically,
(3^10)+3 = 59049 +3 = 59052
The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:
$38,480 x 7.65% = $2943.72
Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

Rounding up to the next whole student, the sample size needed is 2,655 students.
The correct answer is it is a figure with at least 3 straight sides. When you think of a square or a triangle they both have at least 3 sides that are straight. A circle doesn't have any straight sides so it is not a polygon.
You can prove that the other answer is wrong because of two things:
The definition of a polygon is a plane figure with at least three straight sides.
Also, when you think of most shapes what do they all have in common? The have at least three straight sides
Answer:
R-squared is a statistical measure of how close the data are to the fitted regression line.
Step-by-step explanation:
It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression. ... 100% indicates that the model explains all the variability of the response data around its mean.