I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction
1 answer:
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The function
represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.
represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.
Answer:
The variable x lies within the interval of all positive real numbers less than 5 cm.
Detailed solution:
Problem statement:
Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.
Refer to the provided diagram for clarity.
Define:
x → length in centimeters of each square cutout side
The volume of the box with open top can be written as:
Given this, we have:
By substitution:
Determine the domain of x:
Because:
Therefore:
Domain is the interval (0,5)
That means all real numbers strictly greater than zero and less than 5 cm are valid for x.
Hence, the volume V as a function of x is:
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.