Alex has a piece of
1 answer:
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Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
What is the probability that he makes all of the shots?
This is P(X = 3).
There is a 34.3% probability that he makes all of the shots.
Answer:
Since the measurement can't be negative the correct answer for this case would be
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:
And we know that the initial area is a half of the entire area in red , so then:
And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:
We multiply both terms using algebra and the distributive property and we got:
And we can rewrite the expression like this:
And we can solve this using the quadratic formula given by:
Where if we replace we got:
And the two possible solutions are then:
Since the measurement can't be negative the correct answer for this case would be