(x + 2)*(x^2 -2*x+4) - (x^3 -12)
1 answer:
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Answer: 99.73%
Step-by-step explanation:
Given : Mean :
Standard deviation :
Let X be the random variable that represents the data values.
Formula for Z-score :
For x=94, we have
For x=106, we have
The probability that the samples are between 94 and 106:-
Hence, the percent of the samples are expected to be between 94 and 106 = 99.73%
Answer:
12 cm
Step-by-step explanation:
So the Pythagorean Theorem states
If we know what c and a are, we can solve for b by doing
or
Answer:
f(x) = (-5/3)x³ +5x² +(5/3)x -5
Step-by-step explanation:
For root "a", the polynomial will have a factor (x -a). Given the three roots, the polynomial will be the product of the three factors ...
... p(x) = (x +1)(x -1)(x -3)
The value of p(2) is 3·1·(-1) = -3. In order to make f(2) = 5, we need to multiply p(x) by -5/3.
... f(x) = (-5/3)p(x)
... f(x) = (-5/3)(x +1)(x -1)(x -3)
Expanding gives
... f(x) = (-5/3)x³ +5x² +(5/3)x -5
