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.
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
9514 1404 393
Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
Please refer to the above attachment
