A bag consist of 4 blue marbles and 6 red marbles. Three marbles are randomly selected from the bag with replacement after each
selection. Twenty five trials are conducted and the results are given by the table. Compare the theoretical and experimental probabilities for the compound event: red marble, red marble, red marble.FIRST ANSWER WILL GET BRAINLIEST!
2 answers:
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Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (), where
is the hypotenuse.
Let the length of the ladder be (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as
.
From the Pythagorean Theorem, we then have:
Expand using :
Subtract from both sides and add
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.