Its pretty easy if you are good at math! Please help!
1 answer:
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Answer:
Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second
Represent the triangle with T and square with S
So, we're solving for P(T n S)
Solving for P(T)
Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14
Recall that
Hence, the required probability is
Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
