A forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a
2 answers:
Answer:
Yes, fan will provide enough airflow in the ranger station.
Step-by-step explanation:
A ranger station consist of a rectangular pyramid and a rectangular prism.
So volume of air in ranger station = volume of prism + volume of a pyramid
Volume of a rectangular prism = Length×Width×height
= 10×8×8 = 640 ft³
Volume of the pyramid =
=
= 80 ft³
Total volume of the ranger station = 640 + 80 = 720 ft³
Since CFM has the airflow capacity of 1500 cubic feet per minute so one CFM will be sufficient for the volume of 720 ft³.
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Answer:
If we compare the p value and the significance level given for example we see that
so we can conclude that we to reject the null hypothesis, and the the actual mean starting age of smokers is significantly lower than 19.
Step-by-step explanation:
1) Data given and notation
represent the mean age when smokers first start to smoke varies
represent the standard deviation for the sample
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean starting age is at least 19, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Calculate the P-value
Since is a one-side lower test the p value would be:
Conclusion
If we compare the p value and the significance level given for example we see that
so we can conclude that we to reject the null hypothesis, and the the actual mean starting age of smokers is significantly lower than 19.
Answer:
Step-by-step explanation:
Given: On Monday, the closing value of a share of stock in Company ABC, was . On Tuesday, it closed at
, and on Wednesday, it closed at
. On Thursday, the change in stock value was
. And, on Friday, Company ABC's stock gained
points.
To Find: One shareholder owns shares of Company ABC's stock. What was the total value of their stock in this company at the close of Tuesday.
Solution:
Closing value of Shares of company ABC on Monday
Closing value of Shares of company ABC on Tuesday
Closing value of Shares of company ABC on Wednesday
on Thursday change in stock value was
Closing value of Shares of company ABC on Thursday
on Friday comapny's stock gained points
Closing value of Shares of company ABC on Friday
As one shareholder owns shares of company
Total value of shares on Tuesday is
Hence total value of shareholder's share on close of Tuesday is