Which statement is true about the equations –3x + 4y = 12 and One-fourthx – One-thirdy = 1? The system of the equations has exac
tly one solution at (–8, 3). The system of the equations has exactly one solution at (–4, 3). The system of the equations has no solution; the two lines are parallel. The system of the equations has an infinite number of solutions represented by either equation.
2 answers:
Answer:
The system of the equations has no solution; the two lines are parallel
Step-by-step explanation:
we have
----> equation A
-----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The lines does not intersect, the lines are parallel
see the attached figure
therefore
The system of the equations has no solution
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Answer:
95% confidence for µ, the average number of times a horse races
(12.493 , 18.107)
Step-by-step explanation:
<u>Explanation</u>:-
The veterinarian finds that the average number of races a horse enters is 15.3
The mean of the sample x⁻ = 15.3
Given standard deviation of the sample 'S' = 6.8
Given sample size 'n' = 25
Degrees of freedom = n-1 =25-1 =24
The tabulated value 't' = 2.064 at two tailed test 0.95 level of significance
<u> 95% confidence for µ, the average number of times a horse races</u>
<u></u><u></u>
<u></u><u></u>
(15.3 - 2.80704 ,15.3 +2.80704)
(12.493 , 18.107)
<u>Conclusion</u>:-
95% confidence for µ, the average number of times a horse races
(12.493 , 18.107)