1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tensa zangetsu [6.8K]
3 years ago
12

Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of effi

ciency. Resulting in inventory having 20% of the transistors from Alpha, 50% from Beta, and the remaining 30% from Gamma. Further the probability a transistor from Alpha will be defective is 0.02, a transistor from Beta will be defective is 0.06, and a transistor from Gamma will be defective is 0.04. If a random transistor from inventory is defective, what is the probability it came from Bet
Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

P [ β / Def]  = 0,6521     or      65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α)       Defective  0,02

0,50 (β)       defective   0,06

0,30 (γ)       defective    0,04

According to Baye´s Theorem

P [ A/B]  = P[A] * P [ B/A] / P[B]

if we call

β = A   and  Defective = B       then  P[β] = P[A]  and P[Defective] = P[B]

we get :

P [ β / Def]  = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def]  = 0,5 * 0,06 / 0,046

P [ β / Def]  = 0,6521     or      65,21 %

You might be interested in
Graph y=-5x<br><br> Help please
wariber [46]
Hopefully, this helps.

5 0
3 years ago
Read 2 more answers
What should be added to -7/9 to get 5?
liraira [26]
Let the number that wll be added be x, then
-7/9 + x = 5
x = 5 + 7/9 = 5 7/9 or 52/9
8 0
3 years ago
1: Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not hav
OLga [1]

Answer:

(1) y=C, C\neq0

(2) x=C

(1) y=0

Step-by-step explanation:

For the linear equation, the power on the solitary variable must be 1.

When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.

When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.

(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant,  C \neq 0, has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.

Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.

(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.

The solution for the equation is

x-C=0

\Rightarrow x=C, where C\neq0.

(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.

Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.

3 0
3 years ago
Simplify the expression by combining like terms. 22+5m−4m+7n−8
rewona [7]

Answer: The simplified form by combining like terms is given by

14+m+7n

Step-by-step explanation:

Since we have given that

22+5m-4m+7n-8

Now, we combine the like terms :

1) First we collect m terms :

22+5m-4m+7n-8\\\\=22+m+7n-8\\\\

2) Combine n terms  and constant terms :

=22-8+m+7n\\\\=14+m+7n

Hence, the simplified form by combining like terms is given by

14+m+7n

6 0
3 years ago
Read 2 more answers
Trig help ...............
Flauer [41]
Letter D

A = 135°
B = 30°

cosAcosB - sinAsinB = cos(A+B)

cos(135°+30°)
cos(165°)
4 0
3 years ago
Read 2 more answers
Other questions:
  • A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates w
    10·2 answers
  • Which expression is equivalent to 5(x + 7)?
    7·2 answers
  • G find the probability that the winner won the gold medal, given that the winner was from the united states.
    14·1 answer
  • What is the answer to both and how am i suposed to do it
    8·1 answer
  • what are the lower, middle and upper quartiles of this data 122, 164, 71, 98, 147, 114, 111, 98, 85, 104, 71, 77
    11·2 answers
  • Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
    7·1 answer
  • Use the commutative property to identify which expression is equal to (3+4) x9
    13·1 answer
  • What is 1/3x126? Please help me I don’t get this. This is so hard.
    6·2 answers
  • If (n+1)!=90×(n-1)!,find n.​
    10·1 answer
  • Please help I will really appreciate it​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!