“each morning the manager of a bakery has to decide how many cakes they should bake for sale that da show more each morning the manager of a bakery has to decide how many cakes they should bake for sale that day. the manager knows that on any given day the demand for cake is a random variable taking the values 0 1 2 3 4 5 6 and 7 each with probability 1/8. he also knows that he will make a profit of $1 for each cake that he sells and a loss of $0.40 for each cake he bakes but doesnt sell. (a) one cake; (b) two cakes; (c) three cakes; (d) four cakes; (e) five cakes; (f) six cakes; (g) seven cakes. how many cakes should he choose to make in order to maximize his expected profit? hint: what happens if the demand for cake exceeds to the number of cakes baked?

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

Amayoral candidate would like to know her residents’ views on a tax on sugar drinks before the mayoral debates. she asks one thousand registered voters from both parties. these voters are an example of a census population convenience sample simple random sample