Answer:
532 student tickets were sold
Step-by-step explanation:
Let x be the no. of student's tickets sold
Let y be the no. of non student's tickets sold
We are given that 817 tickets were sold in total
So, --1
Cost of 1 student's ticket = $2
So, Cost of x student's ticket = 2x
Cost of 1 non - student's ticket = $3
Cost of y non - student's ticket = 3y
We are given that 817 tickets were sold, for a total of $1919
So, ---2
Solving 1 and 2
Substitute the value of y from 1 in 2
Substitute the value of x in 1
Hence 532 student tickets were sold
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 16 → (1)
2x + y = 9 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 4x - 2y = - 18 → (3)
Add (1) and (3) term by term to eliminate y
- x = - 2 ( multiply both sides by - 1 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
3(2) + 2y = 16
6 + 2y = 16 ( subtract 6 from both sides )
2y = 10 ( divide both sides by 2 )_
y = 5
solution is (2, 5 )
Answer:
Critical value can be reduced by decreasing confidence levels, for eg, 95% critical value < 99% like that
Or sample size can be increased suitably.
Step-by-step explanation:
The question is the methods that can be used to decrease the margin of error.
For understanding we must understand first how margin of error is calculated
Margin of error = Critical value of test statistic * std deviation/square root of sample size
Thus we find if we want to decrease the margin of error,
Either critical value should be reduced or
Sample size should be increased.
Or std deviation should be reduced.
Critical value can be reduced by decreasing confidence levels, for eg, 95% critical value < 99% like that
Or sample size can be increased suitably.
Normally std deviation cannot be altered for a given sample hence the above two only work out.