Answer:
Hypothesis rejected
Step-by-step explanation:
Lets use the t-test since the variance of the population is now known. We need to test the hypothesis that H_0: \mu \leq 79 \text{ vs } H_1: \mu > 79 . This is performed in R as follows:
t.test(tt$Test.2.Score,mu=79,alternative="greater")
One Sample t-test
data: tt$Test.2.Score
t = 2.9238, df = 69, p-value = 0.002337
alternative hypothesis: true mean is greater than 79
95 percent confidence interval:
81.26555 Inf
sample estimates:
mean of x
84.27143
Thus, we reject the null hypothesis and conclude that \mu > 79.
In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when 
Profit after t months:

0 months:
This is P(0). So

1 month:
This is P(1). So

2 months:
This is P(2). So

3 months:
This is P(3). So

4 months:
This is P(4). So

5 months:
This is P(5). So

6 months:
This is P(6). So

7 months:
This is `P(7). So

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check brainly.com/question/24231879
Let's look at the possibilities:
1. Reflection along the y-axis and rotation of 180 degrees by the origin 0. (Gives us 4 and then 2 in the end)
2. Reflection along the y-axis and reflection along the x-axis. (Gives us 4 and then 3 in the end)
3. Reflection along the x-axis and rotation 90 degrees by the origin 0. (Gives us 4 and then 1 in the end)
4. Rotation of 270 degrees by the origin 0. (Gives us 2 in the end)
Option 2 is the answer.
Best of luck!
<span>The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are:
6.2% as social security tax
1.45% as Medicare tax
0.9% as Medicare surtax for employees earning more than $200,000
In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65%
The FICA tax will be 110,330 * 0.0765
FICA tax = $8,440.24</span>
Answer:
The statement is False.
Step-by-step explanation:
Consider the provided information.
If a linear system has four equations and seven variables, then it must have infinitely many solutions.
We need to determine the above statement is true or false.
The above statement is false, it could be inconsistent, and therefore have no solutions,
For example:

Hence, there is no solution.