Answer: (1,4)
Step-by-step explanation:
Given
Equation of line is 
(-1,1) is the solution of the equation
Take x=1 and substitute it in the above equation
So, another pair of the solution is (1,4)
Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
Answer:
The results don't make sense
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
"x" is the number of children's tickets
"y" is the number of adult tickets
Thus:
8 * x + 8.75 * y = 259
x + y = 35 => x = 35 - y
replacing we have:
8 * (35 - y) + 8.75 * y = 259
280 - 8 * y + 8.75 * y = 259
- 8 * y + 8.75 * y = 259 - 280
0.75 * y = -21
y = -21 / 0.75
y = -28
Thus:
x = 35 - (-28) = 63
With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.
Answer:
a. Grand Mean = 2.799
b. Standard Deviation = 0.01387
c. Standard Error = 0.0016
d. The range with a Z score of 3 = (2.75739, 2.84061)
Step-by-step explanation:
a. Grand mean :
Given that
Sum of 80 values = 223.91
Total observation = 80
Grand mean = 223.91/80 = 2.799
b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387
c. Standard error = Standard deviation / root of n
d. The range with a Z score of 3 :
lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739
upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061
Answer:
64
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