SOLUTION: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of to

Question 472909: A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish?
13.4 14.6 15.6 12.7
i am doing something wrong because i dont come up with one of the choices.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish?
--------
Area of the square: 30^2 = 900 cm^2
Area of the dish: pi*10^2 = 100pi cm^2
Area of the cup: pi*7.5^2 = 56.25pi cm^2
----------------------------------------
P(cup) = 56.25pi/{900 + 100pi) = 176.7146/(1214.16) = 0.146..
=========================
Cheers,
Stan H.
==============================
13.4 14.6 15.6 12.7

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Calculate the area of each of the three items. Divide the area of the cup by the sum of the three areas.

In fact, none of the answers is correct as stated. Probabilities are ALWAYS in the range . Now if the answers had been given as 13.4% 14.6% 15.6% 12.7%, that would be another story.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
a plate, a dish, and a cup are on the table. the plate is square with a side and is 32... (answered by mom+3)
A square metal plate of side length 2 feet and negligible thickness rests on a table top... (answered by greenestamps)
One casserole dish is rectangular, measuring 12 in. � 16 in. � 2 in. Another dish is... (answered by unlockmath)
A steel plate in the shape of a triangle has a side in the continued ratio 2:4:5 if the... (answered by amarjeeth123)
Using the formula y= -2/225x^2 +50 (for outputs greater than 0.)to determine the shape of (answered by josmiceli)
There are 24 trays on a table in the cafeteria. Each tray contains a cup only, a plate... (answered by ewatrrr)
A satellite dish is in the shape of of a parabolic surface. The satellite dish has a... (answered by josgarithmetic)
A man-hole on a drainage pipe is covered with an iron-plate, which is of the shape of a... (answered by macston)
what is the lenght of a side of the smallest square plate on which a 20-cm chopstick can... (answered by HyperBrain)