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Q: Prove that a non-empty subset U of R" is a subspace of R" if and only if U = Span(S) for some…

A: Question: Prove that a non-empty subset U of ℝn is a subspace of ℝn if and only if U=SpanS for some…

Q: 3 -4- -0- 4. 2.

A:

Q: 2. A sample of size n is taken from the ponulation which has an unknown distribution with mean and…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Please use the accompanying Excel data set or accompanying Text file data set when completing the…

A: Given n=5 Standard deviations=3

Q: P(2<x<4) i

A: Solution - Given that X is normally distributed with mean of 10 and standard deviation of 2.…

Q: dy 6. + 2xy² = 0 dx

A: dy/dx + 2xy2 = 0 here we have to find the solution of this euqaiton  further step given below this…

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: (a) How large must n be if the length of the 95% CI is to be not greater than 40? (b) How large must…

A: It is given that the random variable gain is normally distributed with standard deviation σ = 20.

Q: Please use the accompanying Excel data set or accompanying Text file data set when completing the…

A:

Q: If you had 56 pieces of data and wanted to make a histogram, how many bins are recommended? 4-5 6…

A: Solution

Q: 1 3 8.

A:

Q: Use the laws of logarithms to write each expression as a single logarithm. (a) 3log(x) - 4log(y) =…

A: We can use properties of logarithms1. log a + log b= Log (ab)2. log a - log b= log (a/b)3.  n log a…

Q: II. Let U = R I= {x €R|x - 14x + 45x = 0 J= {x €R|x s6} S = {x €R| |2x| > 2}. } Find the following.…

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Q: Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1), f'(3), f'(5),…

A: Result: Derivative at a point x=a will represent the slope of tangent line to the curve y=f(x) at…

Q: Show that any integer of the form 6k + 5 is also of the form 3j + 2, but not conversely.

A: 2. We can write 6k+5 = 6k+3+2=3(2k+1)+2 lets write 2k+1=j hence 6k+5=3j+2

Q: 6. Suppose the company builds a box with volume 21 cubic feet, then decides to build another box…

A: