1) The population
Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.
2) The sample is every set of five cards that is selected by each student.
3) I think the sample is representative because all ther terms have the same probability of being selected.
Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
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Answer:
12xto the 3 + 27x squared
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
Given:
The function is
The binomial 
is a factor of f(x).
To find:
The value of 
.
Solution:
If 
is a factor of f(x), then 
.
It is given that, is a factor of f(x), then 
.
We have,
Substituting x=4, we get
Now,
Therefore, the value of a is 5.
First, we need to know the amount of the total chocolates, which is :
13 + 16 + 11 = 40
White Milk
The probability that she randomly picks either white chocolate or milk is
= (16 + 11)/40
= 27/40
Hope this helps
