The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma(
)
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,
,
, False)
P(
)
P(
)
P(
)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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(6x-18)(x+4)/(3x-9)=6(x-3)(x+4)/3(x-3)=2(x+4)=2x+8
Answer:
(1, 2)
Step-by-step explanation:
2x-y=0
4x-2=2
-----------
y=2x-0
y=2x
-------------
4x=2+2=4
4x=4
x=4/4=1
---------------
y=2(1)=2
x=1, y=2.
Answer:
The system has one solution
Step-by-step explanation:
we have the system of equations
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
Multiply by 3 both sides to remove the fraction
Combine like terms

Simplify

<em>Find the value of y</em>



Simplify

The solution of the system is the point 
therefore
The system has one solution