Answer:
see below
Step-by-step explanation:
Bowling:
15+5x where x is the number of people
Skating:
20+3x
We have 50 dollars so the amount must be less than or equal to 50
Bowling
15+5x≤50
Subtract 15 from each side
15-15+5x≤50-15
5x ≤35
Divide each side by 5
5x/5 ≤35/5
x ≤7
She can have 7 or less people
Skating
We have 50 dollars so the amount must be less than or equal to 50
20+3x ≤50
Subtract 20 from each side
20-20+3x ≤50-20
3x ≤30
Divide each side by 3
3x/3 ≤30/3
x ≤10
She can have up to 10 people
She can invite more people skating
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.