Answer:
c=2
Step-by-step explanation:
(4x^2 y^2 + 8x^3 y^5) / (2x y^2) = 4x^2 y^2 / 2x y^2 + 8x^3 y^5 / 2x y^2 = 2x + 4x^2 y^3
Therefore, a = 1, b = 0, c = 2 and d = 3
Answer:
Slope = 3
Step-by-step explanation: Use the slope intercept form
y= mx +b
Im 100% sure this is correct
Answer:
Step-by-step explanation:
Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).
The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.
The method is called the pigeon hole method.
Answer:
The coordinates of the point are (-3,-5)
Step-by-step explanation:
Here, we want to find the coordinates of the point that divides the segment in the ratio 3:2
We shall use the internal division formula;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m+ n)
Where in this case;
(x1,y1) = (6,-2)
(x2,y2) = (-9,-7)
(m, n) = 3,2
Substituting these values;
(x,y) = (3(-9) + 2(6))/(3+2) , (3(-7) + 2(-2))/(3+2)
(x,y) = (-27 + 12)/5 , (-21 -4)/5
(x ,y) = (-15/5, -25/5)
(x , y) = (-3,-5)
The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5
The probability that you will guess all three answers correctly is
(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .
============================
Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)
W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R
Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way
Statistically, if your answers are all pure guesses,
then on the average, the score you expect is
(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8
= 400 / 8
= 50% .
If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.
