Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />![\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5Bx%28t%29%2By%28t%29%5CBig%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%5D)
<em />
Remember that the derivative of a constant is always 0. Therefore:
And by subtracting dy/dt from both sides, we acquire:
Hence, our answer is B.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
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 
.
Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that 
80% 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:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Answer:
Step-by-step explanation:
In order to find an average you need to add all the numbers you have and then divide your sum by the amount of numbers you added.
195+52+206=432
432 divided by 3= 151
That is the answer, 151.
The largest integer is 144, and the other two numbers are 143 and 142.
