Answer:
0.903264
Step-by-step explanation:
Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.
Let A' = the event that A fails, B' = B fails and C'= C fails.
Probability that no circuit board fails = Prob (A'B'C')
= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent
= (1-0.03)(1-0.04)(1-0.03)
= 0.903264
Answer:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
The first one
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Answer:
3x+1.
Step-by-step explanation:
First we divide g(x)/f(x) (the process is in the first image):
5x-15 in Z7[x] is 5x-1 and 
is 
in Z7[x]. So
g(x)/f(x) = 
Now gcd(g,f) = gcm(f,r).
f(x)/r(x) = 
Then, gcd(f,r) = gcd(r,3x+1).
r/(3x+1) = 
Then, gcd(r, 3x+1) = gcd(3x+1,4) = 3x+1.
So, gcd(f,g) = 3x+1.
