Use the system of inequalities y ≥ 0, x ≥ 0, and y ≤ –2x + 4. Find the coordinates of the vertices of the feasible region.

(0, 0), (–2, 0), (0, –4)

(0, 0), (–2, 0), (0, –4)

(0, 0), (2, 0), (0, 4)

(0, 0), (2, 0), (0, 4)

(0, 0), (4, 0), (0, 2)

(0, 0), (4, 0), (0, 2)

(0, 0), (–4, 0), (0, 2)

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

The verbal translation for the difference of m and 7 increased by 15

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?