Answer:
175.9
Step-by-step explanation:
AL=2πrh
(2)·(π)·(14)·(2)
≈175.92919
AL≈175.93
hint there is a calculatior to solve it
i will but the QR code for the calculatior
A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on
1 answer:
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Answer:
No, those vectors do not span P₂
Step-by-step explanation:
At first, notice we have 4 vectors from a vector space of dimension 3 ({1,x,x²} is the standard base of P₂) so we are sure they are linearly dependent (because there are more than 3 vectors) i.e. it´s possible to write one of them in terms of other in the same set:
p4=p1-p2
Now, we conclude the span {p1,p2,p3,p4} = {p1,p2,p3}
If we want to know the subspace that this span gets, we work with the matrix of the vectors made as follows:
The row-reduction of this matrix show us the basis of the same row-subspace even in the case that some of them are linearly dependent:
This shows that the span {p1,p2,p3}={(1+0.5x²),(x-1.5x²)}
Looking in the previous equality, the span {p1,p2,p3} is generated by two linearly independent vectors, but P₂ needs 3 linearly independent vectors to be generated.
The answer is that {p1,p2,p3,p4}⊂P₂.
Using the t-distribution, the 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
<h3>What is a t-distribution confidence interval?</h3>The confidence interval is:
In which:
is the sample mean.
- t is the critical value.
- n is the sample size.
- s is the standard deviation for the sample.
For this problem, the parameters are given as follows:
Hence the bounds of the interval are:
The 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
More can be learned about the t-distribution at brainly.com/question/16162795
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