6x−3y=5 y−2x=8 How many solutions does the system have?
2 answers:
Answer:
no solution.
Step-by-step explanation:
We have been given the system of equations
6x-3y=5...(i)
y-2x=8...(ii)
Write both equations in slope intercept form y = mx +b
For equation (i)
The slope is 2 and the y- intercept is -5/3
For equation (ii)
The slope is 2 and the y-intercept is 8
Since, both the equations have equal slope and different y - intercepts. Hence, the lines are parallel.
Therefore, we can say that the system have no solution.
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Answer:
The minimum sample size needed for use of the normal approximation is 50.
Step-by-step explanation:
Suitability of the normal distribution:
In a binomial distribution with parameters n and p, the normal approximation is suitable is:
np >= 5
n(1-p) >= 5
In this question, we have that:
p = 0.9
Since p > 0.5, it means that np > n(1-p). So we have that:
The minimum sample size needed for use of the normal approximation is 50.