9514 1404 393
Answer:
660 seconds
Step-by-step explanation:
The least common multiple of 45 seconds and 80 seconds is ...
45×80/GCF(45,80) = 45×80/5 = 720
The next change will be 720 seconds after the last one, so 720 -60 = 660 seconds from now.
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<em>Additional comment</em>
You can find the least common multiple by looking at the factors of 45 and 80:
The LCM will include one copy of the common factor and all of the unique factors:
LCM(45, 80) = 5×9×16 = 720
You can see that the greatest common factor is 5, and that the LCM is the product (5×9)(5×16) divided by 5:
LCM(a, b) = a×b/GCF(a, b)
Answer:
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Fourths, (1/4), (.25), (25%)
Answer:
A counterexample is sufficient, as long as it is well built and complete.
Step-by-step explanation:
A counterexample is a statement used to show that a previously spoken statement is false.
The counterexample must be direct, clear, simple, well constructed and concise to be effective. If the counterexample has all of these characteristics, only one counterexample is sufficient to show that a conditional statement is flawed.
As an example of this, we can use a square as a counterexample of a statement that states that every rectangle has 4 equal sides.
DIE SAMPLE SPACE={1,2,3,4,5,5} = 6 possible outcomes
COIN SAMPLE SPACE = {H,T} = 2
P(rolling 2) = 1/6 = 0.1667
P(Tail) = 1/2 = 0.5
P(H AND T) = 1/2 x 1/2 = 1/4 = 0.25
P(Even ∩ T ∩ T) = 0.1667 x 0.5 x 0.5 = 0.04166