Các tập nào sau đây là không gian tuyến tính trongRna)E={x= (x1,...,xn)∈Rn:x1=x2=···=xn= 1}b)E={x= (x1,...,xn)∈Rn:x1+x2= 1}c)E={x= (x1,...,xn)∈Rn:x1>0}d)E={x= (x1,...,xn)∈Rn:x1>0,x2>0,..., xn>0}

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.

Graph the function =gx+2x3 and give its domain and range using interval notation.

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)