The point of intersection of the two lines is at (1,-1)
<h3>System of equation</h3>
The given system of expression is shown below
x - 2y = 3
5x + 3y = 2
The solution to the system of equation is the point of intersection
From equation 1
x = 3 + 2y
Substitute into 2
5(3+2y) + 3y = 2
15 +10y + 3y = 2
13y = -13
y = -1
Substitute y = -1 into 3
x = 3 + 2y
x = 3+(-2)
x = 1
Hence the point of intersection of the two lines is at (1,-1)
Learn more on system of equation here: brainly.com/question/25976025
#SPJ1
<span>2(4x - 12) + 3x = 6x + 1
Distribute.
8x - 24 + 3x = 6x + 1
Combine like terms.
11x - 24 = 6x + 1
5x = 25
x = 5
</span>
Answer:
81.86%
Step-by-step explanation:
We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.
First of all we will find z-score using z-score formula.
Now let us find z-score for 86.
Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.
Using normal distribution table we will get,

We will use formula
to find the probability to find that a normal variable lies between two values.
Upon substituting our given values in above formula we will get,


Upon converting 0.81859 to percentage we will get

Therefore, 81.86% of final exam score will be between 68 and 86.
Answer:
Explain the language of the 13th amendment and what it has led to?
Step-by-step explanation: