Answer:
The population is the set of all the elements. And the sample is a subset of the population.
Step-by-step explanation:
The population is the set of all the elements. And the sample is a subset of the population.
The sample is used to make conclusions regarding the population.
A poll is conducted from the target population to determine the general opinions of the individuals of that population.
The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.
The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.
Consider the example below.
The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:
In favor = 72%
Not in favor = 28%
The population is the entire tea drinking community of a country.
In this case the sample consist of few 100 people of the tea drinking community of a country.
Answer: For a) the Factor is (x+2) (x+1)
Step-by-step explanation: Because (x+2) multiplied by (x+1) gives you x2 + 3x +2.
I don't know your language so I don't know if that was the question or what the other questions were asking, but that's the best I can do
The time it will take to fill the vat if both pipes are left open is = 4.3 hours
<h3>Calculation of time taken to fill vat</h3>
The number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
Learn more about hours here:
brainly.com/question/291457
#SPJ1
Check the picture below.
so... you can pretty much see how long RS and QT are, you can just count the units off the grid.
now, let's find QR's length
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &Q&(~ 8 &,& 8~) % (c,d) &R&(~ 14 &,& 16~) \end{array}~~ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2} \\\\\\ QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26Q%26%28~%208%20%26%2C%26%208~%29%20%0A%25%20%20%28c%2Cd%29%0A%26R%26%28~%2014%20%26%2C%26%2016~%29%0A%5Cend%7Barray%7D~~%20%0A%25%20%20distance%20value%0Ad%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0AQR%3D%5Csqrt%7B%2814-8%29%5E2%2B%2816-8%29%5E2%7D%5Cimplies%20QR%3D%5Csqrt%7B6%5E2%2B8%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0AQR%3D%5Csqrt%7B36%2B64%7D%5Cimplies%20QR%3D%5Csqrt%7B100%7D%5Cimplies%20QR%3D10)
and let's also find the length for ST
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &S&(~ 20 &,& 16~) % (c,d) &T&(~ 22 &,& 8~) \end{array}~ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2} \\\\\\ ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17} \\\\\\ ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26S%26%28~%2020%20%26%2C%26%2016~%29%20%0A%25%20%20%28c%2Cd%29%0A%26T%26%28~%2022%20%26%2C%26%208~%29%0A%5Cend%7Barray%7D~%20%0Ad%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0AST%3D%5Csqrt%7B%2822-20%29%5E2%2B%288-16%29%5E2%7D%5Cimplies%20ST%3D%5Csqrt%7B2%5E2%2B%28-8%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0AST%3D%5Csqrt%7B4%2B64%7D%5Cimplies%20ST%3D%5Csqrt%7B68%7D%5Cimplies%20ST%3D%5Csqrt%7B4%5Ccdot%2017%7D%0A%5C%5C%5C%5C%5C%5C%0AST%3D%5Csqrt%7B2%5E2%5Ccdot%2017%7D%5Cimplies%20ST%3D2%5Csqrt%7B17%7D)
so, add the lengths of all sides, and that's the perimeter of the trapezoid.
Answer:
D
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
(x - 6)² = 0 ← in factored form, thus
x - 6 = 0 ⇒ x = 6 → D