Pleasehelp Explain if possible!

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.

Arandom sample of 100 children were asked whether they prefer apples or oranges. the results are shown in the table. apples oranges boys 27 18 girls 32 23 select a word or phrase from the drop-down menus to correctly complete the statements describing the association. of the boys surveyed, more . of the girls surveyed, more . there appear to be an association between gender and fruit preference.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'