you have 96 feet of fencing to enclose a rectangular pen for your dog. the pen should be three times long as it is wide. write a
2 answers:
Answer: Required equation :
Dimensions of the pen:
Width = 12 feet and Length =36 feet.
Step-by-step explanation:
Let w be the width of rectangular pen, then the length of the rectangular pen will be 3w.
We know that the perimeter of rectangle is given by "2length+2width".
Perimeter of rectangular pen = 2(3w)+2(w) =6w+2w=8w (1)
Given : You have 96 feet of fencing to enclose a rectangular pen for your dog.
i.e. Perimeter of rectangular pen = 96 feet (2)
From (1) and (2), we get
[Divide both sides by 8]
Thus, width = 12 feet and length = 3(12)=36 feet.
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<h2>Answer with explanation:</h2>
Let be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-
Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean :
Standard deviation :
Test statistic for population mean :-
The p-value=
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.