First write the equations in the slope-intercept form:
Line 1 passes through the points (-6,-6) and (-4,-3).
Line 2 passes through the points (0,3) and (2,6).
These are two identical lines so the system of equations has infinitely many solutions. The answer is D.
Step-by-step explanation:
Remember that the sum of angles on a straight line are supplementary. (180°)
Therefore 3x + 2 + 6x - 20 = 180.
=> 9x - 18 = 180
=> 9x = 198
=> x = 22.
Answer:
your answer would be 1/24
Step-by-step explanation:
this is because if you half it you get 5/120
then divide each by 5 to get 1/24
hope it helps!!
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:
4.77
Step-by-step explanation:
because Circumference can be found with this equation
C = 2piR
we need to plug in 15 for Circumference and solve for its radius or R.
15 = 2piR
15/2pi = R
but we need diameter which is 2R so we just need to multiply the answer by 2.
15/2pi × 2 = Diameter
15/pi = D
approximately = 4.77
