Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He n
eeds to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
2 answers:
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Answer: (0.132132, 0.274368)
Step-by-step explanation:
Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.
i.e. n= 123
Critical value for 95% confidence interval :
Confidence interval for population :
i.e.
Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)
Answer:
Step-by-step explanation:
Data given and notation
The info given by the problem is:
the random sample taken
represent the population mean
represent the population standard deviation
The critical region on this case is so then if the value of
we fail to reject the null hypothesis. In other case we reject the null hypothesis
Null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the true mean is 5000, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Let's define the random variable X ="The compressive strength".
We know from the Central Limit Theorem that the distribution for the sample mean is given by:
Find the probability of committing a type I error when H0 is true.
The definition for type of error I is reject the null hypothesis when actually is true, and is defined as the significance level.
So we can define like this:
And in order to find this probability we can use the Z score given by this formula:
And the value for the probability of error I is givn by: