Find the slope of the line. Enter your answer in simplest form. (-3, -2) (5,-2)
1 answer:
You might be interested in
Answer:
If the lines intersect, the System of equations has One Solution.
The point of intersection between the lines is the solution of the System of equations.
Step-by-step explanation:
By definition, given a System of Linear equations, if the lines intersect its means that that System of equations has One Solution.
Then, the point of intersection between the lines is the solution of the System of equations.
Observe the graph attached in the exercise.
You can notice that the are two lines which are intersecting each other at a point.
In this case, you can identify that the intersection between those lines are at the following point:
Where:
(Observe the picture attached)
That is the solution of the System of equations.
Answer:
We conclude that the mean waiting time is more than or equal to 5 minutes at 5% level of significance.
Step-by-step explanation:
We are given that waiting time is defined as the time the customer enters the line until he or she reaches the teller window.
A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes.
Let = <u><em>mean waiting time.</em></u>
SO, Null Hypothesis, :
5 minutes {means that the mean waiting time is more than or equal to 5 minutes}
Alternate Hypothesis, :
< 5 minutes {means that the mean waiting time is less than 5 minutes}
The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;
T.S. = ~
where, = sample mean waiting time = 4.287 minutes
s = sample standard deviation = 1.638 minutes
n = sample of customers = 15
So, <u><em>the test statistics</em></u> = ~
= -1.686
The value of t test statistics is -1.686.
Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.</u>
Since our test statistic is more than the critical value of t as -1.686 > -1.761, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.
Therefore, we conclude that the mean waiting time is more than or equal to 5 minutes.