A carnival game is played using an open box with a rectangular bottom measuring 6 inches by 13 inches. A
square with side lengths of 4 inches is painted on the
bottom of the box. The game is played by dropping a
small bead into the open box. If the bead comes to rest
in the painted square, the player wins a prize.
Assuming a bead dropped into the box comes to rest at
a random spot on the bottom of the box, which of the
following is closest to the probability that the bead
comes to rest in the painted squaje?
A. 0.05
B. 0.10
C. 0.21
D. 0.31
E. 0.67

Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entrée, and 4 choices for a dessert. how many different meals are available when you select an appetizer, an entrée, and a dessert? a meal can be chosen in nothing ways. (type a whole number.)

80 points suppose marcy made 45 posts online. if 23 of them contained an image, what percent of her posts had images? round your answer to the nearest whole percent. 54 percent 51 percent 49 percent 48 percent

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?