Nthe “folklore” of mathematics, g. h. hardy, a twentieth-century mathematician, remarked to a colleague that the number 1,729 was “rather a dull number.” his colleague responded, “no, hardy! it is a very interesting number. it is the smallest number expressible as the sum of 2 cubes in 2 different ways.” which of the following are those 2 ways?

i. 1^3 + 12^3
ii. 2^3 + 11^3
iii. 4^3 + 8^3
iv. 9^3 + 10^3

select your answer.

i and ii

i and iii

i and iv

ii and iii

iii and iv

Noor brought 21 sheets of stickers. she gave 1/3 of a sheet to each of the 45 students at recess. she wants to give teachers 1 1/2 sheets each.

Marco has $38.43 dollars in his checking account. his checking account is linked to his amazon music account so he can buy music. the songs he purchases cost $1.29. part 1: write an expression to describe the amount of money in his checking account in relationship to the number of songs he purchases. part 2: describe what the variable represents in this situation.

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?