ANSWER
The point is
EXPLANATION
When two nonparallel lines are drawn on the same plane, they will intersect at a unique point. This point represents the solution to the two systems of equations represented by the lines.
The vertical line
and the horizontal line
will intersect at
This is the unique solution to the two equations.
See graph.
Answer:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
Answer:
Its C (Third Multiple Choice Answer)
Step-by-step explanation:
The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.
Math:
First
2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).
Then
2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms
Thirdly
(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]
will then turn into 8x = 16
Finally
By dividing 8 on both sides of the previous equation
8x / 8 = 16 / 8 equaling x = 2.
<h3>
Answer: Choice B</h3>
Doug borrowed $2 from his friend every day from Monday through Friday. How much money does Doug owe in all?
==============================================================
Explanation:
The notation 5(-2) is the same as saying "5 times negative 2"
The negative represents the amount of debt that Doug goes into when borrowing that $2. When borrowing the same amount over the course of 5 days, he'll be in debt a total of 10 dollars. So we'd write -10 to represent this.
You could also write it out the longer way
-2 + (-2) + (-2) + (-2) + (-2) = -10
There are five copies of "-2" being added up to arrive at -10
Though it's much simpler to say
5(-2) = -10
The correct answer is A) 2/5
That is because the probability of it is equal to the number of numbers larger than 6 divided by 10, which is 4/10, or 2/5 when reduced.
