∆ABC rotates around point D to create ∆A′B′C′.
2 answers:
Answer:
The coordinates of A' are (4,1). Therefore the coordinates of A'' are (11,2).
Step-by-step explanation:
From the figure it is clear that the coordinates of triangle ABC are A(4,9), B(4,6) and C(2,6).
The ∆ABC rotates around point D to create ∆A′B′C′. The vertices of image are B'(4,4) and C'(6,4).
From the figure it is clear that ∆ABC rotates 180° around point D to create ∆A′B′C′.
The coordinates of A' are
The coordinates of A' are (4,1).
If ∆A′B′C′ rotates 90° counterclockwise around point E(7, 5) to form triangle ∆A″B″C″, then
The coordinates of A'' are
Therefore the coordinates of A'' are (11,2).
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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.