Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



Answer:
x=5, y=41
Step-by-step explanation:
Because both equations are equal to Y, you can set them equal to each other like this:
8x+1=3x+26
From here, solve for x:
1. 5x+1=26
2. 5x=25
3. x=5
Once you have x, plug it back in to one of the original equations:
y=8(5)+1
y=41 and then you have your answer
If this answer was particularly helpful, please feel free to give it brainliest!! I would greatly appreciate it.
Answer:
Step-by-step explanation:
Answer: -7n +3
Step-by-step explanation: