Two ships depart from a port at the same time, one heading south and the other east. Seven hours later, they are separated by a
1 answer:
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Answer:
The equation of the line is: y = x + 4
Step-by-step explanation:
When we are given two points passing through a line, we can find the equation of the line by using two - point form.
Two - point form:
where are the points passing through the line.
Here, let us take two points (can be any two):
and
Therefore, we have:
which is the required answer.
Answer:
u = 3
Step-by-step explanation:
I hope I've helped you.
Answer:
1.
The null hypothesis is
The alternate hypothesis is
2.
The p-value of the test is of 0.0045.
3.
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
Step-by-step explanation:
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).
At the null hypothesis, we test that the mean is 4, so:
At the alternate hypothesis, we test that the mean is more than 4, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that
In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.
This means that
Test statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.
With the help of a calculator, the p-value of the test is of 0.0045.
3. Should the pump be put into service?
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.