Answer:
B. The lines have the same slope, but different intercepts.
Step-by-step explanation:
The solution of a system of linear equations doesn't exist if the lines do not intersect each other at any point. So if there is no solution that means the lines of both equations will not intersect.
Lets look at the options one by one.
For option A:
If the lines are perpendicular, they might intersect at any point so this is not the correct option.
For Option B:
If the lines have same slop and different intercepts that means the lines are parallel. We know that parallel lines never cross each other so option B is the correct answer.
For Option C:
The lines with same intercept and different might also intersect so option C is not correct.
For Option D:
The lines being on top of each other means that the lines intersect on all points. So option D is also not correct.
You would just do 4 x 7, which means there are 28 combinations.
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
The length is 5. You can find this by dividing 25 by 5