Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
Answer:
y=81x^4+648x^3+1944x^2+2592x+1289
Step-by-step explanation:
1. Interchange x and y.
- y=\frac{\sqrt[4]{x+7}}{3}-2
- x=\frac{\sqrt[4]{y+7}}{3}-2
2. Then solve x=\frac{\sqrt[4]{y+7}}{3}-2 for y.
3. y=81x^4+648x^3+1944x^2+2592x+1289
I hope this helps.
A parallelogram
Because...
-opposite angles are congruent
-four sides
-angles must equal 360
100 + 100 +80 + y = 360
280 + y = 360
y = 80
-the angle we don't know is 80 degrees
Answer:
x = 6 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + x - 42 = 0
The left hand side factors into a product with two terms:
(x - 6) (x + 7) = 0
Split into two equations:
x - 6 = 0 or x + 7 = 0
Add 6 to both sides:
x = 6 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 6 or x = -7
To find the volume of this storage bin, you will use the formula for volume of a cylinder and of a cone.
V = Bh (cylinder)
Pi x r^2 x h
Pi x 2^2 x 10
V = 1/3 x pi x r^2 x h
1/3 x pi x 2^2 x 3
All of these choices show correct answers!
