Answer: Choice A) A true null hypothesis is rejected
In other words, if the reality is that the null is true but your research says otherwise, then you've committed a type i error.
A type ii error is when you fail to reject the null (basically "accepting" the null) while in reality the alternative is the true hypothesis.
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
2/3 x 5 = 3
the ratio from 4 to 20 is 5, then you multiply it by the original amount
so it's 3
Answer with Explanation:
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . Represent parallel lines.
1) 8x + y + 4 = 0
y = -8x - 4
If we solve equation 8x + y + 4 = 0 for y, we get
y = -8x -4
So, both equations are same. That means both lines are same. So infinite many solutions.
System is consistent
2) Both line slope are same and parallel to each other.
So, no solution
System is inconsistent.
3) Both equation represent the same line. So, infinite many solution.
System is consistent.
4) Both lines are intersect at a point.
Intersection point is (7,0).
5) Both lines are parallel. So, no solution.
System is inconsistent.
