A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese? the demission's of the cheese is 12cm 5cm 9cm 13cm what is the answer?
A farmer examines a sample of 25 cartons of eggs and finds that 3 contain cracked eggs. What is the best prediction of the number of cartons with cracked eggs in a delivery with 500 cartons?
To make a prediction for the number of cartons with cracked eggs in a delivery with 500 cartons, we can use proportional reasoning.
If 3 out of 25 cartons have cracked eggs, we can represent this as a fraction:
3/25
To find out how many cartons out of 500 might have cracked eggs, we can set up a proportion:
3/25 = x/500
where x represents the number of cartons in the larger sample that might have cracked eggs.
We can solve for x by cross-multiplying:
3 x 500 = 25 x
x = (3 x 500) / 25
x = 60
Therefore, we can predict that out of 500 cartons of eggs, about 60 of them might have cracked eggs.
Which choice correctly describes this event? Every time I flip a coin I will get tails.
Responses
A CertainCertain
B UnlikelyUnlikely
C ImpossibleImpossible
D Likely
The choice that correctly describes the event "Every time I flip a coin I will get tails" is C) Impossible.
This is because when flipping a fair coin, the probability of getting tails on a single flip is exactly 1/2 or 0.5. However, the statement implies that getting tails will happen every single time, which is not possible. Even if the probability of getting tails is very high, it is not certain to happen every time. Therefore, this statement is impossible.
Which choice correctly describes this event? I will pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble
The choice that correctly describes the event "I will pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble" is B) Unlikely.
This is because the probability of pulling the blue marble out of the jar is only 1 out of 50 (the total number of marbles), or 1/50. While it is still possible to pull the blue marble, the chance is low compared to the chance of pulling one of the 49 red marbles. Therefore, this event is considered unlikely.
We need to find the surface area of the wedge of cheese in order to determine how much plastic wrap is needed to cover it.
To do this, we need to find the area of each face of the triangular prism separately and add them up:
- The base of the prism is a right triangle with legs of 12cm and 5cm. Its area is (1/2) x 12cm x 5cm = 30cm².
- The two lateral faces of the prism are rectangles with dimensions of 12cm and 9cm, and 5cm and 9cm. Their areas are 12cm x 9cm = 108cm² and 5cm x 9cm = 45cm², respectively.
- The total surface area of the wedge of cheese is the sum of these three areas: 30cm² + 108cm² + 45cm² = 183cm².
Therefore, we need 183cm² of plastic wrap to cover the wedge of cheese.