F(x) = -5x^2 - x + 20;
f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;
Complete question :
X: 3, 4, 5, 6
f(x): .25, .55, .15, .05
Answer:
0.60
Step-by-step explanation:
Given the data:
Variance (s) :
Σx²*f(x) - E(x)²:
E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4
Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²
16.6 - 16 = 0.6
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.
