Considering that the data has no outliers, the mean of 3.2 inches should be used to describe the center of the data represented in this line plot.
<h3>What measure should be used to describe the center of a data-set?</h3>
It depends if the data-set has outliers or not.
- If it does not have outliers, the mean should be used.
- If it has, the median should be used.
The dot plot gives the number of times each measure appears. Since there is no outliers, that is, all values are close, the mean should be used. It is given by:
M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1 + 1) = 3.2 inches.
The mean of 3.2 inches should be used to describe the center of the data represented in this line plot.
More can be learned about the mean of a data-set at brainly.com/question/24628525
I think the answer is 210.442
Given a solution

, we can attempt to find a solution of the form

. We have derivatives



Substituting into the ODE, we get


Setting

, we end up with the linear ODE

Multiplying both sides by

, we have

and noting that
![\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bx%28%5Cln%20x%29%5E2%5Cright%5D%3D%28%5Cln%20x%29%5E2%2B%5Cdfrac%7B2x%5Cln%20x%7Dx%3D%28%5Cln%20x%29%5E2%2B2%5Cln%20x)
we can write the ODE as
![\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bwx%28%5Cln%20x%29%5E2%5Cright%5D%3D0)
Integrating both sides with respect to

, we get


Now solve for

:


So you have

and given that

, the second term in

is already taken into account in the solution set, which means that

, i.e. any constant solution is in the solution set.
Answer:
<h2>Option 2 is the right answer.</h2>
Step-by-step explanation:
We need to check if the two characteristics, <u>having blue eyes and being deaf are independent of each other or not</u>.
The above two characteristics will be independent if ![[Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}](https://tex.z-dn.net/?f=%5BProbability%20of%20being%20deaf%20with%20blue%20eyes%5D%20%3D%20%7BProbability%20of%20being%20deaf%20%7D%20%7BProbability%20of%20having%20blue%20eyes%7D)
Now, the probability of having blue eyes is
.
The probability that the Dalmatians will be deaf is
.
The probability of being deaf with blue eyes is
.
Since, 38 is not equals to 42, the two characteristics are not independent.
<span>Amount spent at start C = $300
Rate = 3% = 0.03
Number of periods = 3 years
Future Value at the maturity FV = 300 x (1 + 0.03) ^3= 300 x 1.0927 = 328
The correct answer would be 328.14</span>