Which equation in slope intercept represents the line that goes through the points (-1, -5) and (1, -1)
1 answer:
Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.
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Answer:
We conclude that the population mean is different from 10.5.
Step-by-step explanation:
We are given that a random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 11 and the sample standard deviation is 2.
<em>We have to test the claim that the population mean is 10.5.</em>
Let, NULL HYPOTHESIS, :
= 10.5 {means that the population mean is 10.5}
ALTERNATE HYPOTHESIS, :
10.5 {means that the population mean is different from 10.5}
The test statistics that will be used here is One-sample t-test;
T.S. = ~
where, = sample mean = 11
s = sample standard deviation = 2
= population mean
n = sample of values = 16
So, <u>test statistics</u> = ~
= 1
<em>Now, at 0.05 significance level, t table gives a critical value of 2.131 at 15 degree of freedom. Since our test statistics is way less than the critical value of t so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.</em>
Therefore, we conclude that the population mean is different from 10.5.
Answer:
The area of the circular cross section of the pipe is
Step-by-step explanation:
we know that
The area of the circle (cross section of the pipe) is equal to
we have
----> the radius is half the diameter
substitute