The area would amount to 25
and we could create 3 squares. This would leave 75
5 inches remaining.
Response:
, indicating the amount of earnings per working hours, designated as x
Detailed Explanation:
We have two distinct functions to analyze:
This function delineates the earnings based on units of x
Then the second function is
which illustrates the quantity of gallons of ice cream produced by Barrett each hour, with x representing the hours worked.
Our aim is to determine the composite function
resulting from substituting the output of 
as input for 
. Within this framework, the function signifies the amount of money accrued per number of working hours, x.
By substituting g(x) into the x variable of f(x), we obtain:
Yes, the initial response is valid because n squared denotes n with an exponent of 2, and adding 3 to it yields the first result. The three outside indicates multiplication, confirming that the original response is indeed accurate.
Answer:
The equation (in t(n) notation) can be expressed as t(n) = 325(1.04) raised to the 12th power. Alternatively, you would obtain 520.34 if rounding up the half cent.
Step-by-step explanation:
The initial value is 325. The factor of 1.04 acts as the multiplier since the growth rate is 0.04, and including 1 is necessary to prevent a 96% decline each iteration.
To reduce the width of a confidence interval, you should increase the sample size.
Step-by-step explanation:
The width of a confidence interval is determined by multiplying the margin of error by two. This margin of error is influenced by the standard deviation of the population, the sample size (n), and the z-value associated with the confidence level—higher confidence levels correspond to larger z-values. The only factor directly proportional to the margin of error is the sample size, suggesting that increasing the sample size will effectively narrow the width of the margin.
