The x-value of the local maximum and minimum can be found by differentiating the equation and equating the derivative to 0.
dg/dx = 9x² + 6x -30
0 = 9x² + 6x -30
Solving for x,
x = 1.5 , x = -2.2
Now we check to see which is the local maximum and minimum by putting the values into the original equation:
g(1.5) = -4.125
g(-2.2) = 72.576
Thus, the local maximum is at x = -2.2 and has a value of 72.576
Step-by-step explanation:
2x - × + 4x
=5x
!!!!!!!!!!!
<span>multiplying and dividing is similar adding and subtracting. When the signs are different the answer is negative. When the signs are the same the answer is positive</span>
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25