You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability
of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a green tile and then a blue tile is
1 answer:
See attached picture for the missing image required to answer the question.
Answer: 4/21
Step-by-step explanation:
Total number of tiles(possible outcomes) = 7
Number of green tiles(required outcomes) =2
Number of Blue tiles(required outcomes) = 4
Recall :
Probability (P) = Required outcome / total possible outcomes
First pick (without replacement) :
P(picking a green tile) = 2/7
Second pick :
Tiles left after first pick = 6
P(picking a blue tile) = 4/6 = 2/3
Compound probability :
P(picking a green tile) × p(picking a blue tile)
(2/7) × (2/3) = 4/21
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Answer:
<h2>The right answer is 415.4 cubic feet.</h2>Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
