(11x+10)(x+-1)
(X+1)(11x+-10)
Answer:
<em>5 boys play all the two games</em>
<em>25 boys play only one game</em>
Step-by-step explanation:
<u>Sets</u>
There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).
All the boys play at least one of the two games, so no elements are outside both sets.
There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.
Thus 20 + 15 - 30 = 5 boys play both games
Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.
Thus 15 + 10 = 25 boys play only one game.
The Venn diagram is shown in the image.
Answer:
Here the sample is the college students, and the researcher want's to do a survey to obtain information about marriage patterns.
Then, the ideal sample will be constituted of students of both genders, of different ideologies, of different social classes, of different religions, etc.
Then the thing that the researcher needs to do is:
Define the size of the sample
Assign to each student a unique number.
using a random number generator, generate enough different numbers to fill the sample.
Each of these numbers corresponds to a unique student, so now you have a complete sample of random selected students.
This sample can not be biased in any way.
Answer:
x^2 + 18x + 81 complete's the square.
Step-by-step explanation:
y = [x^2 + 18x + (18/2)^2 ] - (18/2)^2
y = [x^2 + 18x + 81] - 81
y = (x + 9)^2 - 81 This is just to make the completion of the square accurate.
You can't just add something to an expression. You have to balance it out.