An art student uses a roll wallpaper to decorate two gift boxes. the student will use 1 1/3 yards of paper for one box and 5/6 yard of paper for the other box. the paper must be cut into pieces that are 1/6 yard long. how many pieces will the student cut to use for the gift boxes?

Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Find the maximum value of p= 4x + 5y subject to the following constraints :