<em><u>Question:</u></em>
Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
<em><u>Answer:</u></em>
x-coordinate of Q is 5
<em><u>Solution:</u></em>
Given that,
Point R divides in the ratio 1 : 3
Which means,
Point R divides the line segment PQ internally
The x-coordinate of the point which divides the line segment in ration m:n internally is given as:

Where,
= x-coordinate of point dividing the segment R = -1
= x-coordinate of P = -3
= x-coordinate of Q = ?
m : n = 1 : 3
m = 1
n = 3
Therefore,

Thus x-coordinate of Q is 5
Answer:

Step-by-step explanation:

Answer:
With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Step-by-step explanation:
A group conducted a poll of 2083 likely voters.
The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.
The margin of error was reported to be 3%
So we are given two proportions;
A = 47%
B = 44%
Margin of Error = 3%
The margin of error shows by how many percentage points the results can deviate from the real proportion.
Case I:
A = 47% + 3% = 50%
B = 44% - 3% = 41%
Candidate A wins
Case II:
A = 47% - 3% = 44%
B = 44% + 3% = 47%
Candidate B wins
As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Answer:
-8 and 3
Step-by-step explanation:
Answer:
-1, 0, 1, 2
Step-by-step explanation:
-1 + 0 + 1 + 2 = 2