(01.03)
alaine has 1 gallon of paint. she is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.

(1 gallon = 231 in3, 1 inch = 2.54 cm)

which of the following scenarios will happen? (2 points)

the paint will not fill the tray by 369 cm3.

the paint will not fill the tray by 5.22 in3.

the paint will fill the tray exactly.

the paint will overfill the tray by 5.22 in3.

Which term best describes the association between variables a and b? no association a negative linear association a positive linear association a nonlinear association a scatterplot with an x axis labeled, variable a from zero to ten in increments of two and the y axis labeled, variable b from zero to one hundred forty in increments of twenty with fifteen points in a positive trend.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.