Answer:
Dependent: fee
Independent: time
Step-by-step explanation:
The scenario described in question indicates that fee is the dependent variable and time is independent variable. The reasoning is that fee depends on the time(hour). The fee will increase as the time increases. Whereas change in time cause change in fee. So, fee is the dependent variable and time is independent variable.
Substitute -3 for x in the expression
f(x)= 53 - 2x
f(-3)= 53 - 2(-3)
multiply -2 * -3
f(-3)= 53 + 6
add
f(-3)= 59
ANSWER: f(-3)= 59
Hope this helps! :)
Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means that 
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.
Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.
Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.
Answer:D:102
Step-by-step explanation: