HELP! DUE IN AN HOUR! SO CONFUED!! SOMEONE HELP EXPLAIN THIS TO ME!!!!
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Answer:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.
Step-by-step explanation:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
On this case we have that n= 56 represent the employees selected to solve the puzzles.
We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.
Let's define the events A and A' like this:
A: Employees solved puzzles in less than 7 minutes
By the complement rule then:
A' : Employees solved puzzles in more than 7 minutes
Based on this we are interested to find the probability for A'
We can begin finding P(A), from the definition of probability we know:
For this case if we replace we got:
And using the complemnt rule we got:
And solving for P(A') we got:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.
ANSWER
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore