bicycle, A company that makes dice (cube), is looking to change The size of the days they produce. The current days have edge le
1 answer:
Answer: If that change is made, the new volume will be
Step-by-step explanation:
For this exercise it is important to remember that the formula used to calculate the volume of a cube is the following:
Where "s" is the lenght of any edge of the cube.
You know that the current days have edge length of 5 mm.
Then, knowing the formula for calculate the volume of a cube, you get that the current volume of any of those cubes made by the company is:
Since they want to increase the length to 15 mm, you can identify that:
Therefore, knowing this new edge you can calculate the new volume.
You get that this is:
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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.