Answer:
None of the above.
Step-by-step explanation:
The system of equations which should have the same solution as the system below;
x + 4y = 11
4x + 2y = 16
is
x + 4y = 11
-8x - 4y = - 32
This system of equations is missing from your choices.
The trick is that -2 is multiplied to the second equation of the first system.
i.e -2 (4x + 2y = 16) gives; -8x - 4y = -32
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
Answer:
the ans is 12
Step-by-step explanation:
C= RadiusxPi
Radius=6
D=Rx2
D=12
(hope this helps can i plz have brainlist :D hehe)
Answer:
Step-by-step explanation:
Answer:
E[X]= 
Step-by-step explanation:
The objective of this question is to determine E[X].
T is defined (0,infinity)
X=max(c,T)
where; c=constant
E[X]=c+function (c,infinity) Sf(t)dt
E[X]
=
E[X]=2+function (2,infinity)dt
E[X]
=
function (2,infinity)
E[X]=
If X = T if T ≥ 2 and X = 2 if 0 ≤ T < 2,
So Since T is exponentially distributed with mean 3, the density function of T is 
