To solve the set of equations given above, we can use the substitution method where we substitute one equation to the other and solving for one variable. We do as follows:
<span>0.4x - 0.1y = 2
x = 5 + 0.25y
0.2x + 0.5y = 1
</span>0.2(5 + 0.25y)+ 0.5y = 1
y = 0
x = 5
Therefore, the correct answer from the choices is option A, (5,0).
Using the z-distribution, it is found that the margin of error is of 0.059.
We are given the standard deviation for the population, hence the <em>z-distribution</em> is used.
<h3>What is the margin of error for a z-confidence interval?</h3>
It is given by:
In which:
- is the population standard deviation.
In this problem, the parameters are:
- .
- Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.
Then:
The margin of error is of 0.059.
You can learn more about the z-distribution at brainly.com/question/12517818
Answer:
x=7 y=10 is the pair for the fourth line hope this helps
Step-by-step explanation:
the x side is adding by 15 and the y side is decreasing by 10 for every pair
Answer:
y = -3/2x + 1 1/2
Step-by-step explanation:
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
6 = -3/2(-3) + b
6 = 4.5 + b
1.5 = b