Answer:
At least 315
Step-by-step explanation:
A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.
Standard deviation of the sample (s) = 449300
Sample size = n
Permissible margin of error = 50000
Z critical value = 1.96
Thus, 1.96 times the standard error equals 50000.
Standard error equals 25510.20
Standard deviation divided by the square root of n = 25510.20
By simplifying, we can derive:
Thus, the minimum sample size required is 315.
# of guests waitstaff gratuity
10 18
20 36
30 54
40 72
50 90
<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
(x - 12) (x - 4) is the answer
The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.
Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.
Conclusion: x < 7.
